12208
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 27280
- Proper Divisor Sum (Aliquot Sum)
- 15072
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5184
- Möbius Function
- 0
- Radical
- 1526
- Omega Function (Ω)
- 6
- 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
- 156
- 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
- Number of self-avoiding n-step walks on Kagome lattice.at n=9A001665
- Expansion of e.g.f.: sin(sinh(log(1+x))).at n=8A009487
- Distinct even elements in 4-Pascal triangle A028275 (by row).at n=46A028282
- Even elements to right of central elements in 4-Pascal triangle A028275.at n=41A028286
- Number of partitions of n into parts not of the form 19k, 19k+2 or 19k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 8 are greater than 1.at n=40A035971
- a(n) = prime(n)*prime(n+1) - prime(n).at n=28A037166
- Sums of members of groups in A076062.at n=28A076060
- a(n) = (3*n+1)*(3*n+4).at n=36A085001
- Number of configurations of the sliding block 8-puzzle that require a minimum of n moves to be reached, starting with the empty square in the center.at n=19A089474
- Numbers m not of the form k*(k+2) that have a single '1' in the periodic part of the continued fraction of sqrt(n).at n=39A102538
- Triangle read by rows: T(n,k) is the number of Motzkin paths of length n having trapezoid weight k.at n=51A104573
- Number of regions formed inside square by diagonals and the segments joining the vertices to the points dividing the sides into n equal length segments.at n=26A108914
- G.f.: 1/(1 - x^3 - 2 x^4 + x^5).at n=39A122517
- Number of integer-sided hexagons having perimeter n.at n=31A124286
- Half-sum (or average) of cubes of two distinct odd primes.at n=28A138855
- Symmetrical triangle read by rows: T(n, k) = m*(T(n-1, k-1) + T(n-1, k)), where T(n, 1) = T(n, n) = n, and m = 2.at n=47A177696
- Symmetrical triangle read by rows: T(n, k) = m*(T(n-1, k-1) + T(n-1, k)), where T(n, 1) = T(n, n) = n, and m = 2.at n=52A177696
- Triangle read by rows: T(n,k) is the number of up-down permutations of {1,2,...,n} having genus k (see first comment for definition of genus).at n=56A178516
- Partial sums of round(5^n/8).at n=7A178874
- Molecular topological index of the n-antiprism graph.at n=13A192791