14751
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
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 23400
- Proper Divisor Sum (Aliquot Sum)
- 8649
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8880
- Möbius Function
- 0
- Radical
- 4917
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 120
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = Sum_{k=1..n} k*phi(k).at n=40A011755
- Poincaré series [or Poincare series] (or Molien series) for mod 2 cohomology of universal W-group W(3).at n=17A014696
- Number of symmetric 5 X 5 matrices of nonnegative integers with every row and column adding to n.at n=4A053494
- a(0)=1, a(1)=1, a(n) = 11*a(n/2) for even n, and a(n) = 10*a((n-1)/2) + a((n+1)/2) for odd n >= 3.at n=18A116525
- Integers arising in A133677.at n=19A133645
- Numbers k such that k^2 + 1 == 0 (mod 41^2).at n=17A157116
- T(n,k) = Number of (n*k) X k binary arrays with rows in nonincreasing order, n ones in every column and no more than 2 ones in any row.at n=31A188403
- Number of (4*n) X n binary arrays with rows in nonincreasing order, 4 ones in every column and no more than 2 ones in any row.at n=5A188405
- Numerator of H(n+4) - H(n), where H(n) = Sum_{k=1..n} 1/k.at n=38A189642
- Number of n X 2 0..3 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors.at n=7A203840
- T(n,k)=Number of nXk 0..3 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors.at n=37A203846
- T(n,k)=Number of nXk 0..3 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors.at n=43A203846
- Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 n X 2 array.at n=20A219589
- Number of nX5 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing.at n=1A223861
- T(n,k)=Number of nXk 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing.at n=16A223864
- Number of 2Xn 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing.at n=4A223865
- Number of nX5 0..3 arrays with rows unimodal and columns nondecreasing.at n=1A223984
- T(n,k)=Number of nXk 0..3 arrays with rows unimodal and columns nondecreasing.at n=16A223987
- Number of n X 5 0..3 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing.at n=1A224170
- T(n,k) = number of n X k 0..3 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing.at n=16A224173