12831
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 21504
- Proper Divisor Sum (Aliquot Sum)
- 8673
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6624
- Möbius Function
- 1
- Radical
- 12831
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 76
- 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
- no
- Odd
- yes
Appears in sequences
- Expansion of 1/((1-2*x) * (1-5*x) * (1-8*x)).at n=4A016297
- Fibonacci sequence beginning 0, 13.at n=16A022347
- First numerator and then denominator of the elements to the right of the central elements of the 1/5-Pascal triangle (by row), excluding 1's and 5's.at n=51A046616
- Distinct odd numbers in the numerators of the 1/5-Pascal triangle (by row).at n=30A046624
- Distinct odd numbers in writing first numerator and then denominator of each element to the right of the central elements of the 1/5-Pascal triangle (by row).at n=30A046628
- 63-gonal numbers: a(n) = n*(61*n - 59)/2.at n=21A098140
- Triangle read by rows, S_3(n, k) where S_m(n, k) are the Stirling-Frobenius subset numbers of order m; n >= 0, k >= 0.at n=23A225468
- Numbers n such that n!! - 512 is prime.at n=20A258452
- Number of (5+1) X (n+1) 0..1 arrays with every 2 X 2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically.at n=8A258558
- Pseudoprimes to base 9, written in base 9.at n=47A262154
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 334", based on the 5-celled von Neumann neighborhood.at n=35A271283
- 1/4 of the even edge of least 2-adic valuation of a primitive 3-simplex (0, b=A031173, c=A031174, d=A031175).at n=46A298046
- Non-palindromic numbers m such that m * repunit of length k is palindromic for all large enough k.at n=52A370053