12186
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
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 26442
- Proper Divisor Sum (Aliquot Sum)
- 14256
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4056
- Möbius Function
- 0
- Radical
- 4062
- Omega Function (Ω)
- 4
- 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
- 37
- 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 Product_{m>=1} (1 - m*q^m)^3.at n=22A022663
- G.f.: Product_{k>=1} (1 + 2*x^k).at n=33A032302
- In decimal expansion of exp(Pi), positions of 10-digit partitions containing exactly 10 distinct digits.at n=0A104791
- Multiples of 18 containing a 18 in their decimal representation.at n=32A121038
- Numbers n with property that average digit of n^2 is s=6.at n=48A164778
- a(n) = sum of all divisors of all numbers k such that n^2 <= k < (n+1)^2.at n=14A168012
- Number of n X 4 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically.at n=11A207020
- a(n) = Sum_{i=1...n} Sum_{j=1..i} lcm(i,j)/i.at n=45A232533
- Number of partitions p of n such that max(p) - min(p) is a part of p.at n=42A238493
- Number of nonnegative integers with property that their base 9/5 expansion (see A024653) has n digits.at n=13A245430
- Partial sums of A253090.at n=32A255603
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 374", based on the 5-celled von Neumann neighborhood.at n=30A271459
- Number of partitions of n with odd minimal part and even maximal part.at n=49A325345
- Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^9.at n=47A339324