11680
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 27972
- Proper Divisor Sum (Aliquot Sum)
- 16292
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4608
- Möbius Function
- 0
- Radical
- 730
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 3
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
- 99
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 53.at n=36A031551
- Super-4 Numbers (4 * n^4 contains substring '4444' in its decimal expansion).at n=9A032744
- Revert transform of (1 + 3x - x^3)/(1 + 4x + 4x^2 + 2x^3).at n=11A049146
- Numbers k such that phi(x) = k has exactly 11 solutions.at n=40A060674
- Difference between larger and smaller terms of n-th amicable pair.at n=28A066539
- a(n) is the least k such that k*Mrs(n)*Mrs(n+1)*Mrs(n+2) + 1 is prime, where Mrs(n) is the n-th Mersenne prime.at n=22A082747
- Let f(x)=(largest digit of x)^(smallest digit of x) + x (A097385). Sequence gives numbers n such that f(n) and f(n+1) are both prime.at n=26A097387
- Structured great rhombicubeoctahedral numbers.at n=9A100146
- Row sums of correlation triangle for (1+x)^3/(1-x).at n=28A115293
- Numbers n such that n = (a_1 + a_2 + ... + a_p)*(a_1^3 + a_2^3 + ... + a_p^3), where n has the decimal expansion a_1a_2...a_p.at n=3A130680
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, 0), (-1, 1), (0, -1), (1, 1)}.at n=10A151400
- Triangle of coefficients of polynomials defined by Binet form: P(n,x) = ((x+d)^n + (x-d)^n)/2, where d=sqrt(x+4).at n=62A162516
- Number of binary strings of length n with equal numbers of 00010 and 00101 substrings.at n=14A164212
- Difference A063990(2n)-A063990(2n-1) between amicable numbers.at n=28A178542
- Triangle read by rows: row n (n>=1) enumerates marked mesh patterns of type R_n^(2,0,2,0).at n=14A211321
- Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and w^2>x^2+y^2.at n=18A211631
- Number of nX3 0..2 arrays with exactly floor(nX3/2) elements equal to at least one king-move neighbor, with new values introduced in row major 0..2 order.at n=5A223029
- Number of nX6 0..2 arrays with exactly floor(nX6/2) elements equal to at least one king-move neighbor, with new values introduced in row major 0..2 order.at n=2A223032
- T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements equal to at least one king-move neighbor, with new values introduced in row major 0..2 order.at n=33A223033
- T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements equal to at least one king-move neighbor, with new values introduced in row major 0..2 order.at n=30A223033