14934
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 31680
- Proper Divisor Sum (Aliquot Sum)
- 16746
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4680
- Möbius Function
- 1
- Radical
- 14934
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 71
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Number of nonintersecting (or self-avoiding) rook paths joining opposite corners of 3 X n board.at n=8A006192
- Number of irreducible positions of size n in Montreal solitaire.at n=10A007075
- Multiplicity of highest weight (or singular) vectors associated with character chi_157 of Monster module.at n=40A034545
- Triangle of self-avoiding rook paths joining opposite corners of n X k board.at n=38A064297
- Square array read by antidiagonals of self-avoiding rook paths joining opposite corners of n X k board.at n=57A064298
- Square array read by antidiagonals of self-avoiding rook paths joining opposite corners of n X k board.at n=63A064298
- Smallest multiple of n-th prime which is == 1 mod (n+1)-st prime.at n=31A073603
- Minimal k > n such that (4k+3n)(4n+3k) is a square.at n=37A083752
- Triangle read by rows: number of Dyck paths of semilength n having k 3-bridges of a given shape (0<=k<=floor(n/3)). A 3-bridge is a subpath of the form UUUDDD or UUDUDD starting at level 0.at n=31A114499
- Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) = number of distinct parts of p.at n=48A241820
- Numbers k such that 7*R_(k+2) - 4*10^k is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=4A257029
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 363", based on the 5-celled von Neumann neighborhood.at n=27A268154
- a(n) = 81*n^2 - 69*n + 24.at n=14A304616
- Write n as a sum of distinct powers of 2, then take the primes of those powers of 2 and multiply them together.at n=43A325094
- Numbers that are the sum of nine fourth powers in ten or more ways.at n=16A345594
- Numbers that are the sum of nine fourth powers in exactly ten ways.at n=15A345852
- Values of the argument at successive record minima of the function R defined as follows. For any integer x >= 1, let y > x be the smallest integer such that there exist integers x < c < d < y such that x^3 + y^3 = c^3 + d^3. Then R(x) = y/x.at n=17A360427
- Inverse Mobius transformation of A034714.at n=35A360429
- Number of partitions of n whose greatest part is a multiple of 5.at n=44A363047