13824
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
- 3
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 40920
- Proper Divisor Sum (Aliquot Sum)
- 27096
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4608
- Möbius Function
- 0
- Radical
- 6
- Omega Function (Ω)
- 12
- Little Omega Function (ω)
- 2
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
- yes
- 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
- 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = (n!)^3.at n=4A000442
- The cubes: a(n) = n^3.at n=24A000578
- Number of ways n married couples can sit in a row without any spouses next to each other.at n=4A007060
- MU-numbers: next term is uniquely the product of 2 earlier terms.at n=26A007335
- Product of the proper divisors of n.at n=23A007956
- Powers of 24: a(n) = 24^n.at n=3A009968
- a(n) = 24^(2*n + 1).at n=1A013729
- a(n) = 24^(4*n + 3).at n=0A013821
- a(n) = 24^(5*n + 3).at n=0A013912
- Even cubes: a(n) = (2*n)^3.at n=12A016743
- a(n) = (3*n)^3.at n=8A016767
- a(n) = (4*n)^3.at n=6A016803
- a(n) = (5n + 4)^3.at n=4A016899
- a(n) = (6*n)^3.at n=4A016911
- a(n) = (7*n + 3)^3.at n=3A017019
- a(n) = (8*n)^3.at n=3A017067
- a(n) = (9*n + 6)^3.at n=2A017235
- a(n) = (10*n + 4)^3.at n=2A017319
- a(n) = (11*n + 2)^3.at n=2A017415
- a(n) = (12*n)^3.at n=2A017523