12144
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 35712
- Proper Divisor Sum (Aliquot Sum)
- 23568
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3520
- Möbius Function
- 0
- Radical
- 1518
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 4
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
- 63
- 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
- Order of the group SL(2,Z_n).at n=22A000056
- Number of index n subgroups of modular group PSL_2(Z).at n=15A005133
- a(n) = n*(n-1)*(n-2) (or n!/(n-3)!).at n=24A007531
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/21).at n=24A011931
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/25 ).at n=25A011935
- a(n) = (n+2)*(n+1)*(n^2 + 7*n - 12)/24.at n=20A014309
- Weight distribution of (48,2^24,12) binary code obtained from Golay code of length 24 lifted to Z/4Z and mapped to GF(2)^2.at n=6A018235
- Weight distribution of (48,2^24,12) binary code obtained from Golay code of length 24 lifted to Z/4Z and mapped to GF(2)^2.at n=18A018235
- Theta series of A*_23 lattice.at n=71A023935
- Least term in period of continued fraction for sqrt(n) is 5.at n=39A031429
- Decimal part of n-th root of a(n) starts with digit 8.at n=14A034085
- a(n) = (6*n)!/(5*n+1)!.at n=4A052795
- a(n) is the decimal concatenation of n and n^2.at n=11A053061
- Smallest area of a Pythagorean triangle with n as length of one of the three sides.at n=43A054435
- Smallest area of a Pythagorean triangle with n as length of a leg.at n=43A054436
- a(n) = 3*n*(3*n-1)*(3*n-2).at n=8A054776
- (1/18)*Difference between concatenation of n and n^2 and concatenation of n^2 and n.at n=31A055435
- Largest area of a Pythagorean triangle with n as length of one of the three sides (in fact as a leg).at n=43A055522
- a(n) = 4 * A073120(n).at n=42A057102
- McKay-Thompson series of class 21D for Monster.at n=23A058566