1456
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 3472
- Proper Divisor Sum (Aliquot Sum)
- 2016
- 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
- 576
- Möbius Function
- 0
- Radical
- 182
- 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
- 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
- 96
- 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
- Number of rooted planar bridgeless cubic maps with 2n nodes.at n=5A000309
- Numbers k such that 3*k^2 - 3*k + 1 is both a square (A000290) and a centered hexagonal number (A003215).at n=3A001922
- Weight distribution of Karlin's [28,14,8] double circulant code.at n=5A002606
- Weight distribution of Karlin's [28,14,8] double circulant code.at n=9A002606
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation.at n=23A003451
- Generalized Euler phi function (for p=3).at n=6A003474
- a(n) = floor(n*phi^8), where phi is the golden ratio, A001622.at n=31A004923
- a(n) = round(n*phi^8), where phi is the golden ratio, A001622.at n=31A004943
- Sum of cubes of primes dividing n.at n=54A005064
- Sum of cubes of odd primes dividing n.at n=54A005067
- Sum of cubes of primes = 2 mod 3 dividing n.at n=54A005076
- Number of 2 up, 2 down, 2 up, ... permutations of length 2n + 1.at n=4A005981
- 4-dimensional analog of centered polygonal numbers. Also number of regions created by sides and diagonals of a convex n-gon in general position.at n=15A006522
- If n mod 2 = 0 then n*(n^2-4)/12 else n*(n^2-1)/12.at n=26A006584
- Numbers k such that sigma(x) = k has exactly 3 solutions.at n=39A007372
- Number of regions in regular n-gon with all diagonals drawn.at n=14A007678
- Coordination sequence T3 for Zeolite Code AFO.at n=25A008017
- Coordination sequence T3 for Zeolite Code BOG.at n=27A008051
- 3x+1 sequence starting at 63.at n=11A008874
- 3x+1 sequence starting at 95.at n=9A008875