12864
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 34544
- Proper Divisor Sum (Aliquot Sum)
- 21680
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4224
- Möbius Function
- 0
- Radical
- 402
- Omega Function (Ω)
- 8
- 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
- 24
- 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
- Coordination sequence for hexagonal close-packing.at n=35A007899
- Coordination sequence for alpha-Nd, Position Nd1.at n=35A009948
- Triangle T(n,m) of number of labeled n-node T_0-hypergraphs with m distinct hyperedges (empty hyperedge included), m=0,1,...,2^n.at n=27A059084
- Number of conjugacy classes in the group GL(3,Z_n).at n=23A086768
- a(n) = (1/12)*(n+1)*(n^3+19*n^2+118*n+228).at n=16A092327
- Number of base 20 n-digit numbers with adjacent digits differing by one or less.at n=7A126374
- Number of length n binary sequences with at most 3 of every 6 adjacent bits set.at n=16A133551
- A054525 * A000984.at n=8A134764
- Integer log of (numerator of convergent to E / denominator of convergent to E) = A001414(A007676/A007677) = A001414(A007676)-A001414(A007677).at n=12A136122
- Numbers with 28 divisors.at n=37A137491
- Wiener indexes of the complete binary trees with n levels, root being at level 0.at n=4A158681
- Triangle read by rows: T(n,k) is the number of non-derangements of {1,2,...,n} for which the difference between the largest and smallest fixed points is k (n>=1; 0 <= k <= n-1).at n=41A161129
- Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having exactly k odd fixed points (0 <= k <= ceiling(n/2)).at n=25A161133
- Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having exactly k even fixed points (0 <= k <= floor(n/2)).at n=21A161134
- Partial sums of Proth primes A080076.at n=21A172243
- Products of the 6th power of a prime and 2 distinct primes (p^6*q*r).at n=34A179672
- Number of 5-step left-handed knight's tours (moves only out two, left one) on an n X n board summed over all starting positions.at n=15A187175
- Numbers divisible by at least four of their digits, different and >1.at n=30A187238
- Number of n X 7 binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally.at n=18A188864
- Table of the elementary symmetric functions a_k(1,2,4,5,...,n+1).at n=32A196842