12100
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 4
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 27
- Divisor Sum
- 28861
- Proper Divisor Sum (Aliquot Sum)
- 16761
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4400
- Möbius Function
- 0
- Radical
- 110
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 68
- 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) = n^2 written in base 3.at n=12A001738
- Squares written in base 4.at n=20A001739
- Squares written in base 5.at n=30A001740
- Squares written in base 6.at n=42A001741
- a(n) = n^2*(n+1)^2*(n+2)/12.at n=10A004302
- Fibonacci numbers written in base 3.at n=12A004686
- Structure constants for certain representations of S_n.at n=3A007235
- a(n) = floor(n/4)*floor((n+1)/4)*floor((n+2)/4)*floor((n+3)/4).at n=42A008233
- a(n) = (3n+2)^2.at n=37A016790
- a(n) = (4n + 2)^2.at n=27A016826
- a(n) = (5*n)^2.at n=22A016850
- a(n) = (6*n + 2)^2.at n=18A016934
- a(n) = (7*n + 5)^2.at n=15A017042
- a(n) = (8*n+6)^2.at n=13A017138
- a(n) = (9*n + 2)^2.at n=12A017186
- a(n) = (10*n)^2.at n=11A017270
- a(n) = (11*n)^2.at n=10A017390
- a(n) = (12*n + 2)^2.at n=9A017546
- Squares which are a decimal concatenation of two or more squares.at n=28A019547
- a(n) = floor(n/2) * floor((n-1)/2) * floor((n-2)/2) * floor((n-3)/2) * floor((n-4)/2) / 12.at n=24A028725