11007
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 15912
- Proper Divisor Sum (Aliquot Sum)
- 4905
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7332
- Möbius Function
- 0
- Radical
- 3669
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 73
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Expansion of 1/(1-x^3-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11).at n=29A017824
- a(n)-th prime is sum of first k primes for some k.at n=24A020641
- An "extremely strange sequence": a(n+1) = [ A*a(n)+B ]/p^r, where p^r is the highest power of p dividing [ A*a(n)+B ] and p=2, A=4.001, B=1.2.at n=33A028948
- Numbers whose base-4 representation contains exactly three 2's and four 3's.at n=0A045152
- Numbers beginning with a vowel in French.at n=9A118557
- Classification of bicyclics with the parameter 'alpha' having the value of 4. See the paper by Hendrickson and Parks for details.at n=7A125673
- Convolution of A008619 and A001400.at n=30A139672
- A sequence of asymptotic density zeta(9) - 1, where zeta is the Riemann zeta function.at n=21A143035
- Number of (n+2) X 9 0..1 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..1 introduced in row major order.at n=17A204753
- Main diagonal of array A255551.at n=20A255550
- Decimal representation of the n-th iteration of the "Rule 157" elementary cellular automaton starting with a single ON (black) cell.at n=7A263806
- Decimal representation of the n-th iteration of the "Rule 93" elementary cellular automaton starting with a single ON (black) cell.at n=7A267055
- Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 33", based on the 5-celled von Neumann neighborhood.at n=15A277773
- Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 35", based on the 5-celled von Neumann neighborhood.at n=13A278346
- Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 51", based on the 5-celled von Neumann neighborhood.at n=13A278595
- Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 334", based on the 5-celled von Neumann neighborhood.at n=21A281213
- Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 363", based on the 5-celled von Neumann neighborhood.at n=28A281416
- Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 597", based on the 5-celled von Neumann neighborhood.at n=14A289765
- Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 601", based on the 5-celled von Neumann neighborhood.at n=16A289775
- Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 605", based on the 5-celled von Neumann neighborhood.at n=14A289888