5908
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 11872
- Proper Divisor Sum (Aliquot Sum)
- 5964
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2520
- Möbius Function
- 0
- Radical
- 2954
- Omega Function (Ω)
- 4
- 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
- 23
- 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
- Partitions into non-integral powers (see Comments for precise definition).at n=13A000234
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite AFR = SAPO-40 [Si7Al29P28O128].4TPA.OH starting with a T1 atom.at n=5A018960
- dot_product(n,n-1,...2,1)*(7,8,...,n,1,2,3,4,5,6).at n=21A026066
- Every run of digits of n in base 3 has length 2.at n=25A033001
- a(n)=T(n,n+2), array T as in A049600.at n=6A049608
- Convolution of A055854 with A011782.at n=6A055855
- McKay-Thompson series of class 27A for the Monster group.at n=27A058599
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 65 ).at n=39A063338
- Number of different shapes formed by bending a piece of wire of length n in the plane.at n=17A066372
- Number of benzenoids with 22 hexagons, C_(2v) symmetry and containing n carbon atoms.at n=13A123106
- Numbers k such that 16*k+1, 16*k+3 and 16*k+13 are primes.at n=44A123992
- Numbers k for which 16*k+1, 16*k+3 and 16*k+15 are primes.at n=28A123997
- Number of base 18 circular n-digit numbers with adjacent digits differing by 2 or less.at n=5A124935
- Generator for the finite sequence A053016.at n=27A136254
- A129065 with v=x instead of v=1: recursive polynomial coefficient triangle.at n=17A136452
- Number of square involutions of n.at n=11A164990
- Numbers n with property that n^3+n^2+{3,5} are twin primes.at n=22A168254
- Number of open knight's tour diagrams of a 3 X n chessboard that are symmetric under 180-degree rotation and have "type F": the endpoints occur in different columns and agree in color with the cells in the nearest corner.at n=14A169774
- Partial sums of A003214.at n=13A174566
- Triangle read by rows: T(n,k) (n >= 0, 1 <= k <= n+1) are the signed Hultman numbers.at n=32A189507