5512
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 11340
- Proper Divisor Sum (Aliquot Sum)
- 5828
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2496
- Möbius Function
- 0
- Radical
- 1378
- Omega Function (Ω)
- 5
- 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
- 129
- 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
- Exponential-convolution of triangular numbers with themselves.at n=6A007465
- Molien series for A_5.at n=50A008628
- a(n) = floor( n*(n-1)*(n-2)/27 ).at n=54A011909
- Number of partitions of n into parts of 10 kinds.at n=5A023009
- 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 37.at n=20A031535
- a(n) = 4*n*(2*n + 1).at n=26A033586
- Denominators of continued fraction convergents to sqrt(608).at n=9A042167
- a(n) = Sum_{k=1..n, m=1..k} T(m,k); array T as in A049828.at n=39A049830
- Matrix 10th power of partition triangle A008284.at n=49A050304
- Number of asymmetric mobiles (circular rooted trees) with n nodes and 3 leaves.at n=20A055364
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 73 ).at n=25A063346
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 75 ).at n=40A063348
- Least number k such that k has n anti-divisors.at n=30A066464
- Number of primitive roots modulo prime(n)^2, where prime(n) is n-th prime.at n=27A104039
- Numbers whose anti-divisors sum to a prime.at n=32A109350
- a(n) = floor(log(A111288(n))).at n=27A111388
- a(n) = (5*n^3+12*n^2+n+6)/6.at n=18A114211
- Number of maximal directed trails in the labeled n-ladder graph P_2 X P_n.at n=27A135443
- Number of unit square lattice cells enclosed by origin centered circle of diameter 2n+1.at n=42A136486
- Row sums of triangle A137639.at n=28A137640