14784
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 56
- Divisor Sum
- 48768
- Proper Divisor Sum (Aliquot Sum)
- 33984
- 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
- 462
- 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
- 133
- Smith Number
- yes
- 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
- a(n) = 2^n*C(n+6,6). Number of 6D hypercubes in an (n+6)-dimensional hypercube.at n=5A002409
- Weight distribution of Cheng-Sloane [ 32,17,8 ] code.at n=10A002617
- Weight distribution of Cheng-Sloane [ 32,17,8 ] code.at n=6A002617
- Theta series of {D_6}* lattice.at n=43A008425
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, with initial values 0,0,1,1.at n=25A025277
- a(n) = Sum_{k=0..2*n} (k+1)*T(n, 2*n-k), T given by A027960.at n=9A027982
- "DHK[ 5 ]" (bracelet, identity, unlabeled, 5 parts) transform of 1,1,1,1,...at n=38A032246
- Coordination sequence for diamond structure D^+_6. (Edges defined by l_1 norm = 1.)at n=9A035879
- Numbers whose base-11 representation has exactly 5 runs.at n=10A043648
- Composite numbers divisible by the palindromic sum of their prime factors (counted with multiplicity).at n=26A046358
- Composite numbers divisible by the palindromic sum of their palindromic prime factors (counted with multiplicity).at n=14A046366
- a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = n - 1 - 2^p and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(3) = 4.at n=14A049946
- a(n) = Sum_{d|4} phi(d)*n^(4/d).at n=11A054603
- Sum of all partitions of n into distinct parts.at n=33A066189
- Composite numbers k such that phi(k) divides sigma(k) - 2*k.at n=20A068412
- a(n) = 2^(n-1)*binomial(2*n-1, n).at n=5A069720
- Smallest number m such that m and the product of digits of m are both divisible by 8n, or 0 if no such number exists.at n=55A073912
- Numbers k such that phi(k) = Sum_{d|k} core(d) where core(x) is the squarefree part of x (A007913).at n=9A074786
- A transform of binomial(n,5).at n=6A082139
- Number of permutations of length n containing exactly once 132 and 213, likewise for pattern pair (231,312).at n=10A089264