12384
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
- 3
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 36036
- Proper Divisor Sum (Aliquot Sum)
- 23652
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4032
- Möbius Function
- 0
- Radical
- 258
- Omega Function (Ω)
- 8
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 125
- 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
- Cake numbers: maximal number of pieces resulting from n planar cuts through a cube (or cake): C(n+1,3) + n + 1.at n=42A000125
- Class numbers of quadratic fields.at n=26A002141
- Molien series for alternating group Alt_12 (or A_12).at n=36A008635
- Number of partitions of n into at most 12 parts.at n=36A008641
- Vampire numbers: (definition 1): n has a nontrivial factorization using n's digits.at n=27A020342
- Convolution of A023532 and Fibonacci numbers.at n=19A023596
- Convolution of A023532 and (F(2), F(3), F(4), ...).at n=18A023600
- Numbers that are the sum of 3 positive cubes in exactly 3 ways.at n=4A025397
- Numbers that are the sum of 3 positive cubes in 3 or more ways.at n=4A025398
- Numbers that are the sum of 3 distinct positive cubes in exactly 3 ways.at n=3A025401
- Numbers that are the sum of 3 distinct positive cubes in 3 or more ways.at n=3A025402
- a(n) = n^3 + (n+1)^3 + (n+2)^3.at n=15A027602
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 55.at n=27A031553
- Number of 2 X 2 singular integer matrices with elements from {0,...,n}.at n=39A059306
- Write 1, 2, 3, 4, ... counterclockwise in a hexagonal spiral around 0 starting left down, then a(n) is the sequence found by reading from 0 in the vertical upward direction.at n=32A063436
- Triple Peano sequence: a list of triples (x,y,z) starting at (1,1,1); then x'=x+1, y'=y+x, z'=z+y, for x only ranging over the primes.at n=41A071988
- Third terms of triple Peano sequence A071988.at n=13A072206
- n is divisible by the sum of all divisors of n which are less than the square root of n (values of n where 1 is the only divisor less than sqrt(n) are excluded as trivial cases.).at n=44A088345
- Numbers n which when converted to base 7, reversed and converted back to base 10 yield a number m such that n mod m = 0. Cases which are trivial or result in digit loss are excluded.at n=5A091081
- a(n) = Sum_{k=0..floor(n/4)} C(n-2k,2k) * 2^(n-3k).at n=11A100132