2612
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 4578
- Proper Divisor Sum (Aliquot Sum)
- 1966
- 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
- 1304
- Möbius Function
- 0
- Radical
- 1306
- 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
- 27
- 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)^2*(1-x^2)*(1-x^3)).at n=42A000601
- Number of 4-line partitions of n decreasing across rows.at n=18A003292
- Expansion of e.g.f. (2 - e^x)^(-2).at n=5A005649
- Coordination sequence T1 for Zeolite Code NON.at n=31A008212
- Coordination sequence T3 for Zeolite Code SGT.at n=32A008231
- Coordination sequence T3 for Zeolite Code CON.at n=36A009870
- Coordination sequence for MgZn2, Position Zn2.at n=13A009938
- Shallit sequence S(8,55): a(n) = floor(a(n-1)^2/a(n-2) + 1).at n=3A010918
- Phi(n) + 5 | sigma(n + 5).at n=32A015784
- Expansion of (8 + 7 x - 7 x^2 - 7 x^3)/(1 - 6 x - 7 x^2 + 5 x^3 + 6 x^4).at n=3A019484
- Numbers k such that the continued fraction for sqrt(k) has period 34.at n=25A020373
- Numbers k such that Fibonacci(k) == -3 (mod k).at n=37A023164
- Expansion of x^2*(2 - x + x^2) / ((1 + x)*(1 - x)^4).at n=23A026035
- a(n) = Sum_{k=0..m} (k+1) * A026148(n, k), where m=0 for n=1; m=n+1 for n >= 2.at n=6A027333
- Sequence satisfies T^2(a)=a, where T is defined below.at n=35A027593
- 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 24.at n=42A031522
- Fractional part of square root of a(n) starts with 1: first term of runs.at n=48A034107
- Gozinta numbers: possible number of gozinta chains for some positive integer.at n=43A034776
- Number of partitions of n into parts not of form 4k+2, 20k, 20k+1 or 20k-1. Also number of partitions in which no odd part is repeated, with no part of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=50A036024
- Numerators of continued fraction convergents to sqrt(423).at n=6A041804