16800
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 72
- Divisor Sum
- 62496
- Proper Divisor Sum (Aliquot Sum)
- 45696
- 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
- 210
- Omega Function (Ω)
- 9
- 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
- 35
- 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 labeled ordered set partitions into 5 parts for n>=1, a(0)=1.at n=7A001118
- Expansion of 1/((1+x)*(1-x)^5).at n=27A001752
- Largest number in n-th row of triangle A019538.at n=7A002869
- Number of labeled trivalent (or cubic) 3-connected graphs with 2n nodes.at n=2A007100
- a(n) = Product_{k=1..n} binomial(2*k,k).at n=4A007685
- a(n) = floor(n*(n-1)*(n-2)/7).at n=50A011889
- Triangle of coefficients in expansion of (2+5x)^n.at n=30A013621
- Triangle of numbers T(n,k) = k!*Stirling2(n,k) read by rows (n >= 1, 1 <= k <= n).at n=25A019538
- Denominators of poly-Bernoulli numbers B_n^(k) with k=3.at n=9A027646
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 13 (most significant digit on right).at n=20A029506
- Longest edge a of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a^2 + b^2), sqrt(b^2 + c^2), sqrt(a^2 + c^2) are integers).at n=24A031173
- Theta series of lattice A_2 tensor D_5 (dimension 10, det. 3888, min. norm 4).at n=7A033697
- For all n, if d is recursively applied to a(n) exactly 6 times then the fixed point of d-iteration is just reached.at n=21A036458
- Expansion of ( Sum_{k>=0} k*q^(k^2) )^8.at n=31A037217
- a(n) = n*(3*n+1)*(n+2)!/24.at n=5A037960
- Triangle whose (i,j)-th entry is binomial(i,j)*5^(i-j)*2^j.at n=33A038244
- Numbers whose base-7 representation contains exactly four 6's.at n=24A043420
- (-1)sigma sociable number of order 2: (-1)sigma((-1)sigma(x))=x, but (-1)sigma(x)<>x, where if x=Product p(i)^r(i) then (-1)sigma(x)=Product (-1+Sum p(i)^s(i), s(i)=1 to r(i)); (-1)sigma(1)=1.at n=4A051152
- Number of primitive (aperiodic) words of length n which contain exactly five different symbols.at n=6A056270
- Number of palindromes of length n using exactly five different symbols.at n=12A056456