2012
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 3528
- Proper Divisor Sum (Aliquot Sum)
- 1516
- 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
- 1004
- Möbius Function
- 0
- Radical
- 1006
- Omega Function (Ω)
- 3
- 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
- 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
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of nonnegative solutions to x^2 + y^2 <= n^2.at n=50A000603
- Primes in ternary.at n=16A001363
- Representation degeneracies for boson strings.at n=25A005292
- Length of n-th term in Look and Say sequences A005150 and A007651.at n=26A005341
- Numbers n such that n! has a square number of digits.at n=35A006488
- Number of non-Abelian metacyclic groups of order p^n (p odd).at n=48A007983
- Coordination sequence T1 for Zeolite Code AFR.at n=34A008019
- Coordination sequence T1 for Keatite.at n=25A009844
- Coordination sequence T4 for Zeolite Code RTH.at n=31A009896
- Coordination sequence T3 for Zeolite Code VSV.at n=29A009916
- Phi(n) + 5 | sigma(n + 5).at n=26A015784
- Numbers k such that phi(k) + 10 | sigma(k + 10).at n=44A015789
- Numbers k such that Fibonacci(k) == -3 (mod k).at n=27A023164
- a(n) = Sum_{k=0..2n-3} T(n,k) * T(n,k+3), with T given by A027082.at n=2A027112
- a(n+1) = Sum_{k=0..sqrt(n)} a(k) * a(n-k).at n=12A030041
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 22.at n=27A031520
- Roots of 'non-palindromic squares remaining square when written backwards'.at n=38A035123
- Number of partitions satisfying (cn(1,5) = cn(4,5) = 0 and cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5)).at n=50A036825
- Positive numbers having the same set of digits in base 3 and base 10.at n=23A037422
- Decimal expansion of a(n) is given by the first n terms of the periodic sequence with initial period 2,0,1.at n=3A037519