10540
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 24192
- Proper Divisor Sum (Aliquot Sum)
- 13652
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3840
- Möbius Function
- 0
- Radical
- 5270
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 55
- 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 n, with two kinds of 1, 2, 3 and 4.at n=19A000710
- Numbers k such that sigma(k+2) = sigma(k).at n=20A007373
- Weight distribution of [32,21,6] BCH code.at n=4A010463
- Weight distribution of [32,21,6] BCH code.at n=12A010463
- Sum of all partitions of n into distinct parts.at n=31A066189
- a(n) = A000203(n)^2 - A001157(n) - 2n = sigma(n)^2 - sigma_2(n) - 2n.at n=63A066294
- Integer part of the square root of n-th decimal repunit.at n=8A096483
- Integer part of the square root of (2n-1)-th decimal repunit.at n=4A096484
- Indices of primes in sequence defined by A(0) = 59, A(n) = 10*A(n-1) - 51 for n > 0.at n=7A101577
- Triangle read by rows: T(n,k) is the number of partitions of the set {1,2,...,n}, having exactly k blocks consisting only odd entries (0<=k<=ceiling(n/2)).at n=38A124420
- Triangle read by rows: T(n,k) is the number of partitions of the set {1,2,...,n}, having exactly k blocks consisting only even entries (0<=k<=floor(n/2)).at n=33A124422
- Number of ternary Lyndon words with exactly four 1's.at n=7A124722
- Number of nX3 1..5 arrays containing at least one of each value, all equal values connected, and rows considered as a single number in nondecreasing order.at n=2A166784
- Largest members of fully k-sociable cycles of order r.at n=15A183023
- Conjectured list of fully multisociable numbers.at n=26A183029
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and w^2+x^2+y^2>2n.at n=22A211644
- G.f.: exp( Sum_{n>=1} x^n/n * Product_{k>=1} (1 + x^(n*k)*(1 + x^n)^k) ).at n=13A219229
- a(n) = n*(n + 1)*(n + 2)*(3*n + 17)/24.at n=15A241765
- Nonequivalent ways to place two different markers (e.g., a pair of Go stones, black and white) on an n X n grid.at n=16A242709
- Number of unlabeled, connected graphs on n vertices with at least one subgraph isomorphic to a C_5, where C_5 is the cycle graph on five vertices.at n=7A243246