13884
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 35280
- Proper Divisor Sum (Aliquot Sum)
- 21396
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4224
- Möbius Function
- 0
- Radical
- 6942
- Omega Function (Ω)
- 5
- 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
- 107
- 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
- Shifts left under OR-convolution with itself.at n=10A007460
- a(n) = 6*a(n-1) - 9*a(n-2) + 2*a(n-3) for n>3, a(1)=0, a(2)=-1, a(3)=0.at n=8A120665
- Number of meaningful differential operations of the n-th order on the space R^(2+n).at n=11A127935
- Number of zig-zag paths from top to bottom of a rectangle of width 8 with n rows.at n=12A153340
- Number of 11 X 11 arrays of squares of integers, symmetric about the diagonal and under 90-degree rotation, with all rows summing to n.at n=36A156407
- Number of ways to place 2 nonattacking wazirs on an n X n board.at n=12A172225
- Up-down permutations on [n] whose peaks have k rises.at n=32A194354
- Triangle read by rows: T(n,k) is the number of down-up permutations on [n] whose peaks have k rises.at n=39A194365
- Number of partitions of n with difference 3 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=40A242694
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 453", based on the 5-celled von Neumann neighborhood.at n=6A272274
- The smallest position with nim-value n in subtract-a-square game.at n=37A297963
- a(n) is the total surface area of a hollow cubic block (defined as a block with a shell thickness of 1 cube) where n is the edge length of the removed volume.at n=32A309842
- Expansion of Product_{k>=1} (1 + sigma(k)*x^k), where sigma(k) is the sum of the divisors of k (A000203).at n=17A316962
- a(n) is the smallest number which can be represented as the sum of n distinct nonzero n-gonal numbers in exactly 2 ways.at n=14A377729