12386
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 20304
- Proper Divisor Sum (Aliquot Sum)
- 7918
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5620
- Möbius Function
- -1
- Radical
- 12386
- Omega Function (Ω)
- 3
- 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
- 187
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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_{k=0..n} T(n,k), T given by A026769.at n=12A026776
- a(n) = smallest number > a(n-1) such that a(1)*a(2)*...*a(n) + 1 and a(1)*a(2)*...*a(n) - 1 are primes.at n=31A051956
- Consider all integer triples (i,j,k), j,k>0, with binomial(i+2,3)=binomial(j+2,3)+k^3, ordered by increasing i; sequence gives i values.at n=40A054221
- A054221 without cubes.at n=18A054224
- a(n) = (n^3 + 5*n + 18)/6.at n=44A060163
- Structured pentagonal icositetrahedral numbers (vertex structure 10).at n=10A100168
- Number of length-n American English expressions for nonnegative integers (spaces, hyphens, and commas excluded).at n=23A121064
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 0, 1), (0, -1, 0), (0, 0, 1), (1, 1, -1)}.at n=9A148473
- Engel expansion of hz = limit_{k -> infinity} 1 + k - Sum_{j = -k..k} exp(-2^j).at n=19A159835
- A triangle with Pell numbers in the first column.at n=58A164981
- Number of numerical semigroups of multiplicity n and genus n+2.at n=42A180739
- n^2 + {1,3,7} are primes.at n=36A182238
- a(n) = n*(13*n - 9)/2.at n=44A226488
- Numbers k such that p = k^2 + 1 is prime, as are p-6 and p+6.at n=44A227178
- Number of partitions p of n that do not include (min(p) + max(p))/2 as a part.at n=34A238481
- Number of (5+2) X (n+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 3 5 6 or 7.at n=11A252389
- Number of (n+2) X (5+2) 0..1 arrays with no 3 x 3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 3.at n=23A255798
- Number of octonary sequences of length n such that no two consecutive terms have distance 1.at n=5A287812
- a(n) = 2*n^3 - 4*n^2 + 6*n - 2 (n>=1).at n=18A304159
- Number of pandiagonal Latin squares of order 2n+1 with the first row in ascending order.at n=6A338620