15314
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 26880
- Proper Divisor Sum (Aliquot Sum)
- 11566
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6480
- Möbius Function
- 1
- Radical
- 15314
- 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
- 84
- 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
- a(n) = binomial(4n, n) - binomial(4n, n - 3).at n=5A026020
- Numbers whose base-5 representation contains exactly three 2's and three 4's.at n=16A045292
- Expansion of ( 1-x ) / ( 1-x-x^2-x^4+x^5 ).at n=21A052989
- Number of partitions of n into parts that are odd or == +- 4 mod 10.at n=47A134157
- Numbers k for which (7+k!)/7 is prime.at n=17A139065
- a(n) = 16*n^2 - 2*n.at n=30A158058
- Number of (n+2)X(n+2) binary arrays avoiding patterns 001 and 110 in rows, columns and nw-to-se diagonals.at n=5A202439
- Number of (n+2) X 8 binary arrays avoiding patterns 001 and 110 in rows, columns and nw-to-se diagonals.at n=5A202445
- Composite squarefree numbers n such that p-d(n) divides n+d(n), where p are the prime factors of n and d(n) the number of divisors of n.at n=16A228301
- Numbers n such that n^k is zeroless for k=0,...,6.at n=26A253647
- Total number of points on a sphere when both poles are on an x by x grid where x=8*n+1.at n=43A254527
- Expansion of Product_{k>=1} 1/((1 - x^k)*(1 - x^(4*k))).at n=31A318027
- Number of set partitions of [n] such that for each block b the smallest integer interval containing b has at most four elements and for at least one block c the smallest integer interval containing c has exactly four elements.at n=8A320554
- Sequence lists numbers k > 1 such that k^4 == d(k) (mod sigma(k)), where d = A000005 and sigma = A000203.at n=15A323251
- Table read by antidiagonals upward: T(n,k) is the number of ways to move a chess queen from (1,1) to (n,k) in the first quadrant using only up, right, and diagonal up-left moves.at n=26A334017
- Numbers that are the sum of five fourth powers in three or more ways.at n=12A344243
- Numbers that are the sum of five fourth powers in exactly three ways.at n=12A344244
- Squarefree numbers k such that k^2 is abundant, and d^2 is nonabundant for any proper divisor d of k.at n=31A381741