5628
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 15232
- Proper Divisor Sum (Aliquot Sum)
- 9604
- 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
- 1584
- Möbius Function
- 0
- Radical
- 2814
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 173
- 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
- Number of walks on cubic lattice.at n=6A005571
- Series expansion for rectilinear polymers on square lattice.at n=6A007291
- a(n) = floor( (n/e)^n ).at n=7A015554
- Nearest integer to (n/e)^n.at n=7A015558
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite RHO = Rho (Na,Cs)12[ Al12Si36O96 ] . 44 H2O.at n=5A019059
- Expansion of 1/((1-4x)(1-9x)(1-11x)).at n=3A019687
- Number of 1's in n-th term of A022470.at n=32A022472
- 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 50.at n=19A031548
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 50.at n=2A031728
- Convolution of positive integers n with Lucas numbers L(k)(A000032) for k >= 4.at n=10A033814
- Dirichlet convolution of triangular numbers with themselves.at n=41A034715
- Shifts left under transform T where Ta is (identity) DCONV a.at n=32A038046
- Numerators of continued fraction convergents to sqrt(604).at n=9A042158
- Triangle of numbers arising in enumeration of walks on cubic lattice.at n=51A052179
- Nearest integer to (n+1)^3/9.at n=36A060999
- a(n) = floor(n^3/9).at n=37A061263
- Convolution of A000010 with itself.at n=45A065093
- a(n) = floor(e^n mod n^e).at n=24A066433
- Number of graphical partitions of simple Eulerian graphs (partitions given by the degrees of vertices of simple (no loops or multiple edges) graphs having only vertices of even degrees) having n edges.at n=41A069831
- Ooguri-Vafa invariants of disk degeneracies for brane III in the O(K)->P^1 x P^1 geometry.at n=5A092698