14472
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 40800
- Proper Divisor Sum (Aliquot Sum)
- 26328
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4752
- Möbius Function
- 0
- Radical
- 402
- Omega Function (Ω)
- 7
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 58
- 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
- a(n) = 10000*log_10(n) rounded to the nearest integer.at n=27A004229
- a(n) = 10000*log_10(n) rounded up.at n=27A004230
- Number of symmetrically inequivalent coincidence rotations of index 2n-1 in lattice D_4.at n=40A031360
- Multiplicity of highest weight (or singular) vectors associated with character chi_70 of Monster module.at n=46A034458
- Number of ways of getting 5 of a kind, royal flush, other straight flush, 4 of a kind, full house, other flush, other straight, 3 of a kind, 2 pair, a pair or no pair in 5-card poker with deuces wild.at n=5A053085
- Number of ways of getting no pair, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, other straight flush, royal flush or 5 of a kind in 5-card poker with deuces wild.at n=5A053086
- Number of 4 X n binary matrices with 1 unit column up to row and column permutations.at n=8A057222
- Number of ways of getting 5 of a kind, a straight flush, 4 of a kind, full house, flush, straight, 3 of a kind, 2 pair, a pair in deuces-wild poker.at n=4A057796
- Number of ways of getting 5 of a kind, a straight flush, full house, flush, 4 of a kind, straight, 2 pair, 3 of a kind, a pair in deuces-wild poker.at n=3A057797
- Number of ways of getting (at least) 5 of a kind, a straight flush, flush, 4 of a kind, full house, straight, 3 of a kind, 2 pair, a pair in wild-card poker with deuces wild.at n=2A057805
- Numbers with at least two 3s in their prime signature.at n=36A109399
- Numbers k such that k^2 is a palindrome when written in base 17.at n=36A118651
- Numbers of the form p^3*q^3*r where p, q, and r are prime.at n=23A179688
- Number of acute triangles, distinct up to congruence, on an n X n grid (or geoboard).at n=22A190021
- Expansion of q / (chi(q) * chi(q^2) * chi(q^3) * chi(q^6))^2 in powers of q where chi() is a Ramanujan theta function.at n=32A212770
- Square array read by antidiagonals, where the top row is the nonnegative integers and the other numbers are the sum of the neighbors in the preceding row.at n=63A217536
- a(n) = Sum_{k=0..[n/2]} binomial((n-k)^2, (n-2*k)*k).at n=6A228837
- Number of (n+1)X(2+1) 0..3 arrays with the maximum plus the lower median minus the upper median of every 2X2 subblock equal.at n=1A237220
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the lower median minus the upper median of every 2X2 subblock equal.at n=4A237225
- Number of partitions of n whose mean is a part.at n=51A237984