1072
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 2108
- Proper Divisor Sum (Aliquot Sum)
- 1036
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 528
- Möbius Function
- 0
- Radical
- 134
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 2
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
- no
- Narcissistic Number
- no
- Collatz Steps
- 31
- 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 switching networks (see Harrison reference for precise definition).at n=1A000809
- Numbers that are the sum of 3 nonnegative cubes in more than 1 way.at n=6A001239
- Number of degree-n permutations of order dividing 4.at n=7A001472
- Numbers k such that phi(2k+1) < phi(2k).at n=13A001837
- Number of terms in a skew determinant: a(n) = (A000085(n) + A081919(n))/2.at n=6A002771
- Numbers that are the sum of 2 positive cubes.at n=46A003325
- Numbers that are the sum of 11 positive 5th powers.at n=47A003356
- Number of (undirected) Hamiltonian cycles on a 2n X 2n square grid of points.at n=2A003763
- Numbers that are a sum of distinct positive cubes in more than one way.at n=44A003998
- Number of degree-n permutations of order a power of 2.at n=7A005388
- Number of Hamiltonian circuits on 2n X 6 rectangle.at n=2A005390
- a(n) = Sum_{k=1..n-1} (k OR n-k).at n=35A006583
- Coordination sequence T2 for Zeolite Code AFY.at n=27A008030
- Coordination sequence T7 for Zeolite Code MEL.at n=21A008156
- Coordination sequence T7 for Zeolite Code NES.at n=21A008211
- Coordination sequence T8 for Zeolite Code PAU.at n=24A008226
- Table T(n,k) giving number of permutations of [1..n] with order dividing k, read by antidiagonals.at n=48A008307
- Expansion of e.g.f. sinh(tan(x)*exp(x)).at n=6A009608
- Coordination sequence T4 for Zeolite Code -CHI.at n=21A009849
- Coordination sequence T2 for Zeolite Code CON.at n=23A009869