10200
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 3
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 33480
- Proper Divisor Sum (Aliquot Sum)
- 23280
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2560
- Möbius Function
- 0
- Radical
- 510
- Omega Function (Ω)
- 7
- 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
- 86
- 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 ways of writing n as a sum of 6 squares.at n=26A000141
- 4-dimensional figurate numbers: a(n) = n*binomial(n+2, 3).at n=14A002417
- Expansion of (1-x)^(-3) * (1-x^2)^(-2).at n=28A002624
- Number of ways of getting a royal flush, other straight flush, 4 of a kind, full house, other flush, other straight, 3 of a kind, 2 pair, a pair or nothing in 5-card poker.at n=5A002761
- Number of ways of getting nothing, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, other straight flush, or a royal flush in 5-card poker.at n=4A002806
- Number of ways of getting a straight flush, 4 of a kind, full house, flush, straight, 3 of a kind, 2 pair, a pair, no pair in poker.at n=4A002847
- Theta series of D_6 lattice.at n=13A008428
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/25 ).at n=24A011935
- Weight distribution of [ 17,9,7 ] code over GF(4).at n=9A014488
- Expansion of 1/(1-x^3-x^4-x^5-x^6-x^7).at n=31A017820
- Erroneous version of A307102.at n=20A019513
- Expansion of 1/((1-8*x)*(1-10*x)*(1-12*x)).at n=3A020980
- Positive numbers k such that k and 2*k are anagrams in base 4 (written in base 4).at n=13A023059
- a(n) = diagonal sum of left justified array T given by A027113.at n=24A027131
- Theta series of 6-dimensional lattice P6.4 = A6,2.at n=39A029690
- Numbers that can be expressed as the product of two 3-digit numbers in at least one way.at n=2A033829
- Positive numbers having the same set of digits in base 3 and base 10.at n=38A037422
- Numbers having three 0's in base 10.at n=28A043491
- Truncated square pyramid numbers: a(n) = Sum_{k = n..2*n} k^2.at n=16A050409
- Numbers k such that sopfr(k) = sopfr(k - sopfr(k)).at n=16A050781