12272
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 26040
- Proper Divisor Sum (Aliquot Sum)
- 13768
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5568
- Möbius Function
- 0
- Radical
- 1534
- 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
- 63
- 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
- Expansion of e.g.f.: sin(log(1+tan(x))).at n=8A009452
- Numbers k that divide Sum_{j=1..k} A051953(j) where A051953(j) = j - Phi(j). Arithmetic mean of first k cototient values is an integer.at n=8A063986
- Expansion of e.g.f. 1/(1-2*log(1+x)).at n=6A088501
- Even numbers n such that 37^2 (the square of the first irregular prime) divides the numerator of Bernoulli(n).at n=22A090789
- a(n) = 1 + (26*n+17+7*n^2)*n/2.at n=14A095796
- a(n) = 6*2^n - n - 5.at n=11A101945
- a(n) = 512*n - 16.at n=23A157447
- a(n) = ((4+sqrt(5))*(3+sqrt(5))^n + (4-sqrt(5))*(3-sqrt(5))^n)/2.at n=5A163071
- Antidiagonal sums of A147995 and A163545.at n=23A163484
- Number of binary strings of length n with no substrings equal to 0001 0101 or 0111.at n=19A164470
- a(n) = 3*a(n-1) - 2*a(n-2) with a(0)=32 and a(1)=80.at n=8A182466
- Number of 2 X 2 matrices with all elements in {0,1,...,n} and determinant in {0,1}.at n=36A209991
- Number of partitions of n+4 with largest inscribed rectangle having area <= n.at n=30A218625
- Irregular triangle read by rows: T(n,k) = number of independent vertex subsets of size k of the graph g_n obtained by attaching two pendant edges to each vertex of the path graph P_n (having n vertices).at n=55A235116
- Irregular triangle read by rows: T(n,k) = number of independent vertex subsets of size k of the graph g_n obtained by attaching two pendant edges to each vertex of the path graph P_n (having n vertices).at n=57A235116
- Number of partitions p of n containing round((min(p) + max(p))/2) as a part.at n=39A238486
- Number of partitions of (4, n) into a sum of distinct pairs.at n=22A268347
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 533", based on the 5-celled von Neumann neighborhood.at n=6A272783
- Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. 1/(1 - k*log(1 + x)).at n=42A320080
- a(n) = Glaisher's function beta(2n+1).at n=29A322032