14112
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 54
- Divisor Sum
- 46683
- Proper Divisor Sum (Aliquot Sum)
- 32571
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4032
- Möbius Function
- 0
- Radical
- 42
- Omega Function (Ω)
- 9
- 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
- 32
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of ways of writing n as a sum of 8 squares.at n=10A000143
- Numbers n such that n / product of digits of n is a square.at n=17A001104
- Theta series of D_8 lattice.at n=5A008430
- a(n) is the concatenation of n and 8n.at n=13A009470
- Expansion of g.f. sqrt(V(x)), where V(x) = Sum_{n >= 0} A065409(n)*x^n.at n=4A026301
- Shortest edge c of (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=28A031175
- a(n) = n^3 * Product_{p|n, p prime} (1 + 1/p).at n=20A033196
- Dirichlet convolution of squares with themselves.at n=41A034714
- Fourier coefficients of E_{0,4}.at n=10A035016
- Coordination sequence for lattice D*_84 (with edges defined by l_1 norm = 1).at n=2A035827
- Coordination sequence for diamond structure D^+_84. (Edges defined by l_1 norm = 1.)at n=2A035918
- Product of n with sum of next n consecutive integers.at n=20A036659
- Smallest number that is palindromic (with at least 2 digits) in n bases.at n=32A037183
- a(n) = Product_{i=1..n} ((i+3)*(i+4)*(i+5))/(i*(i+1)*(i+2)).at n=5A047819
- Positive numbers n such that n is a multiple of (product of digits of n) * (sum of digits of n).at n=14A049102
- Sum of digits of zero-absent composite a(n) equals number of prime factors.at n=5A050690
- Array read by antidiagonals: number of antichains (or order ideals) in the poset 3*m*n or plane partitions with rows <= m, columns <= n and entries <= 3.at n=39A056939
- Array read by antidiagonals: number of antichains (or order ideals) in the poset 3*m*n or plane partitions with rows <= m, columns <= n and entries <= 3.at n=41A056939
- Number of antichains (or order ideals) in the poset 5*m*n or plane partitions with not more than m rows, n columns and entries <= 5.at n=24A056941
- Low-temperature specific heat expansion for hexagonal lattice (Potts model, q=4).at n=8A057388