11560
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 27630
- Proper Divisor Sum (Aliquot Sum)
- 16070
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4352
- Möbius Function
- 0
- Radical
- 170
- Omega Function (Ω)
- 6
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 50
- 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
- Expansion of (1-x)^(-3) * (1-x^2)^(-2).at n=29A002624
- a(n) = n*(n+1)*(n+2)^2/6.at n=15A004320
- a(n) = (n+1)*binomial(n+1,14).at n=3A027774
- Specific heat coefficients for square lattice spin 3 Ising model.at n=22A030122
- 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=31A031551
- a(n) = 10*n^2.at n=34A033583
- Numbers n such that 237*2^n-1 is prime.at n=31A050877
- Numbers k such that k and its reversal are both multiples of 17.at n=34A062906
- Non-palindromic number and its reversal are both multiples of 17.at n=24A062915
- Numbers k such that the sum over the prime divisors of k equals the number of divisors of k.at n=38A069234
- Expansion of (1+x)^3/((1+x)^3+x^4).at n=21A099531
- Terms of A068563 that are not terms of A124240.at n=44A124241
- Numbers k such that k and k^2 use only the digits 0, 1, 3, 5 and 6.at n=24A136843
- a(n) = a(n-1) + a(n-2) - [a(n-2)/4] - [a(n-4)/2] - [a(n-6)/4].at n=32A173599
- Potential magic constants of 8 X 8 magic squares composed of consecutive primes.at n=29A189188
- Expansion of (-3/2+(x^3+3*x)/(sqrt(x^4-4*x^3-2*x^2+1)*2*x)).at n=16A247170
- Number of length n+2 0..1 arrays with at most one downstep in every n consecutive neighbor pairs.at n=38A255993
- Numbers n such that n*2^1279 - 1 is prime.at n=30A265502
- a(n) = n*(n + 1)*(16*n - 1)/6.at n=16A304659
- Sum of the fifth largest parts in the partitions of n into 6 parts.at n=46A308869