12258
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
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 27360
- Proper Divisor Sum (Aliquot Sum)
- 15102
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4068
- Möbius Function
- 0
- Radical
- 1362
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 50
- 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 nonequivalent dissections of an n-gon by nonintersecting diagonals rooted at a cell up to rotation.at n=7A003454
- Number of partitions of n in which no parts are multiples of 5.at n=38A035959
- a(n) = T(n,n-3), array T as in A055818.at n=38A055820
- Numbers n such that (n! + 2)/2 is a prime.at n=18A082672
- a(n) = 5^n - 4^n + 3^n.at n=6A083325
- Iccanobirt prime indices (10 of 15): Indices of prime numbers in A102120.at n=14A102140
- a(0) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, for n>3: a(n+1) = SORT[a(n) + a(n-1) + a(n-2) + a(n-3)], where SORT places digits in ascending order and deletes 0's.at n=44A108564
- Total sum of parts of multiplicity 7 in all partitions of n.at n=38A222735
- Number of partitions p of n such that (number of parts of p) - min(p) is a part of p.at n=43A238547
- Coefficient of y^0 in G(x,y)^3 where G(x,y) = Sum_{n=-oo..+oo} (1-x^n)^n * x^n * y^n.at n=48A263188
- Triangle read by rows: T(n,k) = number of neighbors in n-dimensional lattice for generalized neighborhood given with parameter k.at n=41A265014
- Sum of quadratic residues of (n-th prime == 3 mod 4).at n=26A282035
- Let p = n-th prime == 3 mod 8; a(n) = sum of quadratic residues mod p.at n=13A282723
- Indices of primes followed by a gap (distance to next larger prime) of 32.at n=43A320714
- Number of edges in a hexagon when n internal hexagons are drawn between the 6n points that divide each side into n+1 equal parts.at n=32A357198
- Irregular triangle read by rows: T(n,k) is the sum of all parts of all partitions of n with k designated summands, n >= 1, 1 <= k <= A003056(n).at n=56A386997