12996
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 27
- Divisor Sum
- 34671
- Proper Divisor Sum (Aliquot Sum)
- 21675
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4104
- Möbius Function
- 0
- Radical
- 114
- Omega Function (Ω)
- 6
- 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
- yes
- 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
- 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = (3*n)^2.at n=38A016766
- a(n) = (4n + 2)^2.at n=28A016826
- a(n) = (5*n + 4)^2.at n=22A016898
- a(n) = (6*n)^2.at n=19A016910
- a(n) = (7*n+2)^2.at n=16A017006
- a(n) = (8*n + 2)^2.at n=14A017090
- a(n) = (9*n + 6)^2.at n=12A017234
- a(n) = (10*n + 4)^2.at n=11A017318
- a(n) = (11*n + 4)^2.at n=10A017438
- a(n) = (12*n + 6)^2.at n=9A017594
- a(n) is the smallest square that is the sum of n distinct positive squares.at n=32A018936
- Self-convolution of natural numbers >= 3.at n=37A023551
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = (composite numbers).at n=36A024588
- Squares that remain a square if a suitably chosen digit is dropped.at n=40A034377
- Squares and omitting some digit gives another number in this list.at n=22A034378
- Number of possible rook moves on an n X n chessboard.at n=18A035006
- Squares that are the sum of the divisors of some number.at n=41A038688
- Squares with initial digit '1'.at n=34A045784
- Number of semi-meanders of order n with 6 components.at n=6A046725
- a(n) = 10*n^2+n.at n=35A055437