3612
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 9856
- Proper Divisor Sum (Aliquot Sum)
- 6244
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1008
- Möbius Function
- 0
- Radical
- 1806
- Omega Function (Ω)
- 5
- 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
- 118
- 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
- Expansion of 1/((1+x)*(1-x)^6).at n=12A001753
- Number of series-reduced planted trees with n+9 nodes and 4 internal nodes.at n=19A001860
- Numbers that are the sum of 4 positive 5th powers.at n=41A003349
- Number of points on surface of cuboctahedron (or icosahedron): a(0) = 1; for n > 0, a(n) = 10n^2 + 2. Also coordination sequence for f.c.c. or A_3 or D_3 lattice.at n=19A005901
- Numerators of worst case for Engel expansion.at n=30A006539
- Coordination sequence T3 for Zeolite Code CAS.at n=36A008065
- Coordination sequence T1 for Zeolite Code PAU.at n=44A008219
- Coordination sequence for diamond.at n=38A008253
- Coordination sequence T1 for Zeolite Code RTE.at n=41A009890
- Coordination sequence T2 for Zeolite Code RTE.at n=41A009891
- Coordination sequence T3 for Zeolite Code RTE.at n=41A009892
- Coordination sequence for CaF2(2), Ca position.at n=38A009926
- Base-7 Armstrong or narcissistic numbers (written in base 10).at n=16A010350
- a(n) = floor( n*(n-1)*(n-2)/22 ).at n=44A011904
- a(n) = (d(n)-r(n))/5, where d = A026049 and r is the periodic sequence with fundamental period (4,1,4,0,1).at n=33A026051
- Negative of numerator of y-coordinate of (2n+1)*P where P is the generator for rational points on the curve y^2 + y = x^3 - x.at n=5A028934
- Negative of numerator of y coordinate of n*P where P is the generator [0,0] for rational points on curve y^2+y = x^3-x.at n=10A028942
- Least term in period of continued fraction for sqrt(n) is 10.at n=11A031434
- a(n) = 4*n*(2*n + 1).at n=21A033586
- Number of ways to place a non-attacking white and black king on n X n chessboard.at n=7A035286