15498
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 40320
- Proper Divisor Sum (Aliquot Sum)
- 24822
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- 0
- Radical
- 1722
- Omega Function (Ω)
- 6
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 53
- 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 partitions of floor(5n/2)-1 into n nonnegative integers each no more than 5.at n=39A001976
- Coefficients for numerical integration.at n=5A002685
- Number of compositions of n into 6 ordered relatively prime parts.at n=15A023031
- Number of partitions of n into parts not of the form 21k, 21k+8 or 21k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=36A035986
- Denominators of continued fraction convergents to sqrt(340).at n=13A041643
- Number of proper T_1-hypergraphs with 3 labeled nodes and n hyperedges.at n=15A056078
- a(n) = 18*(n - 2)*(2*n - 5).at n=21A060787
- Triangle T(n,k) giving number of labeled cyclic subgroups of order k in symmetric group S_n, n >= 1, 1 <= k <= g(n), where g(n) = A000793(n) is Landau's function.at n=45A074881
- a(n) = Sum_{k=1..(p-1)*(p-2)} floor((k*p)^(1/3)) where p is the n-th prime.at n=9A078838
- Numbers k that divide A005554(k) (the sum of consecutive Motzkin numbers).at n=36A081741
- Sum of all parts of all partitions of n that do not contain 1 as a part.at n=26A138880
- Numbers n such that n^6 + 545 is prime.at n=7A163592
- a(n) = 9*n*(n+1).at n=41A163758
- Partial sums of A049486.at n=28A174655
- Sum of parts in all partitions of 2n+1 that do not contain 1 as a part.at n=13A182737
- 41 times triangular numbers.at n=27A195038
- Triangle of coefficients of polynomials v(n,x) jointly generated with A208765; see the Formula section.at n=50A208766
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and w^2+x^2+y^2>=2n.at n=25A211645
- 3X3X3 triangular graph coloring a rectangular array: number of n X n 0..5 arrays where 0..5 label nodes of a graph with edges 0,1 0,2 1,2 1,3 1,4 2,4 3,4 2,5 4,5 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.at n=2A223210
- 3X3X3 triangular graph coloring a rectangular array: number of nX3 0..5 arrays where 0..5 label nodes of a graph with edges 0,1 0,2 1,2 1,3 1,4 2,4 3,4 2,5 4,5 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.at n=2A223213