11207
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12816
- Proper Divisor Sum (Aliquot Sum)
- 1609
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9600
- Möbius Function
- 1
- Radical
- 11207
- Omega Function (Ω)
- 2
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 68
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Convolution of Lucas numbers and primes.at n=13A023625
- a(n) = T(n,n-3), where T is the array in A026374.at n=26A026382
- a(n) = T(n,n-3), where T is the array in A026386.at n=26A026394
- Number of partitions of n in which every part occurs 1, 4, or 5 times. Also number of partitions of n in which every part is congruent to {1, 3, 4, 5, 7} mod 8.at n=49A100853
- Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 3,0 4,1 4,2 polyhexes in any orientation on a planar nXnXn triangular grid.at n=6A155281
- Number of nX4 0..1 arrays with every element unequal to 0, 1 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=18A317769
- Number of compositions of n whose multiplicities cover an initial interval of positive integers.at n=17A329741
- Record high points in A336957.at n=49A337646
- Odd composite integers m such that A004187(3*m-J(m,45)) == 7*J(m,45) (mod m) and gcd(m,45)=1, where J(m,45) is the Jacobi symbol.at n=45A340241
- Expansion of Sum_{k>0} x^(4*k)/(1-x^k)^5.at n=23A363608
- Expansion of Sum_{k>0} x^(4*k)/(1+x^k)^5.at n=23A363618
- Expansion of (1/x) * Series_Reversion( x / (1 + x^2 * (1 + x)^4) ).at n=10A389155