12396
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 28952
- Proper Divisor Sum (Aliquot Sum)
- 16556
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4128
- Möbius Function
- 0
- Radical
- 6198
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 138
- 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
- a(n) = Sum_{m=1..n} Sum_{k=1..m} prime(k).at n=27A014148
- a(n) = A027082(n, 2n-7).at n=8A027094
- [ exp(9/10)*n! ].at n=6A030948
- Interprimes which are of the form s*prime, s=12.at n=32A075287
- a(n)=(a^n-b^n)/(a-b), where a=1.3802775690976141157... and b=-0.8191725133961644397... are the real roots of x^4-x^3-1=0.at n=30A097719
- Number of reduced words of length n in the Weyl group B_22.at n=4A161900
- Number of reduced words of length n in the Weyl group D_22.at n=4A162364
- A triangle related to the a(n) formulas of the rows of the ED4 array A167584.at n=19A167591
- The fifth left hand column of triangle A167591.at n=1A168308
- Number of distinct solutions of Sum_{i=1..2}(x(2i-1)*x(2i)) = 0 (mod n), with x() only in 2..n-2.at n=45A180814
- Number of strings of numbers x(i=1..6) in 0..n with sum i^2*x(i) equal to n*36.at n=12A183957
- Number of arrangements of 3 nonzero numbers x(i) in -n..n with the sum of floor(x(i)/x(i+1)) equal to zero.at n=22A189499
- Coefficients of mock modular form H_1^(5) (divided by 2).at n=19A256054
- Growth series for group with presentation < S, T : S^3 = T^6 = (S*T)^6 = 1 >.at n=10A298806
- a(n) is the number of subsets of {1, 2, ..., n} with product of all entries <= n^2 + n.at n=51A298880
- Triangle read by rows: T(n,m) (n >= m >= 1) = number of regions (or cells) formed by drawing the line segments connecting any two of the 2*(m+n) perimeter points of an m X n grid of squares.at n=40A331452
- a(n) is the smallest number which can be represented as the sum of n distinct perfect powers (A001597) in exactly n ways, or -1 if no such number exists.at n=38A363040
- Expansion of 1/( 1 - 9 * Sum_{k>=0} x^(3^k) / (1 - x^(3^k)) )^(1/3).at n=5A382369