14264
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 26760
- Proper Divisor Sum (Aliquot Sum)
- 12496
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7128
- Möbius Function
- 0
- Radical
- 3566
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- 50
- 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
- Expansion of a modular function for gamma_0(6).at n=21A006708
- Powers of fifth root of 8 rounded up.at n=23A018137
- Multiplicity of highest weight (or singular) vectors associated with character chi_19 of Monster module.at n=39A034407
- Values of A038007 not ending in 6 or 8.at n=29A038009
- Exponents in expansion of constant A065480 as a product zeta(n)^(-a(n)).at n=17A065492
- The 5-cycle of the n => sigma(n)-n process, where sigma(n) is the sum of divisors of n (A000203).at n=4A072891
- Conjectured list of sociable numbers.at n=1A122726
- Binomial transform of [1, 1, 7, 7, 7, ...].at n=11A131068
- Number of line segments connecting exactly 9 points in an n x n grid of points.at n=40A177725
- Conjectured list of multisociable numbers.at n=20A183019
- Number of length 3+3 0..n arrays with every four consecutive terms having the sum of some three elements equal to three times the fourth.at n=14A248540
- T(n,k)=Number of nXk binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two not more than once.at n=46A268995
- Number of 2 X n binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two not more than once.at n=8A268996
- G.f.: Sum_{n>=0} (1-x)^(n*(n+1)) * [ Sum_{k>=1} k^n * x^k ]^n.at n=7A276747
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n) - 1, where a(0) = 2, a(1) = 4, b(0) = 1, b(1) = 3, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences.at n=16A295961
- a(n) = Sum_{k=1..n} (A000330(n) mod k^2).at n=42A344711
- Conjectured list of numbers which are perfect, amicable, or sociable.at n=18A347770
- Number of partitions of n with at most four part sizes.at n=40A364793
- a(n) = 25*n^2/2 - 11*n/2 + 1.at n=34A383465