3102
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 6912
- Proper Divisor Sum (Aliquot Sum)
- 3810
- 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
- 920
- Möbius Function
- 1
- Radical
- 3102
- Omega Function (Ω)
- 4
- 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
- 154
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Coordination sequence T7 for Zeolite Code DDR.at n=35A008077
- Coordination sequence T1 for Zeolite Code GME and AFX.at n=42A008110
- Coordination sequence T5 for Zeolite Code RSN.at n=36A009889
- a(0) = 1, a(n) = 31*n^2 + 2 for n>0.at n=10A010020
- Integer part of Gamma(n+3/10)/Gamma(3/10).at n=8A020062
- Even elements in the 5-Pascal triangle A028313.at n=36A028317
- Even elements in the 5-Pascal triangle A028313.at n=35A028317
- Distinct elements in the 5-Pascal triangle A028313.at n=41A028318
- Distinct even elements in the 5-Pascal triangle A028313.at n=20A028320
- Even elements to the right of the central elements of the 5-Pascal triangle A028313.at n=14A028321
- Elements to the right of the central elements of the 5-Pascal triangle A028313.at n=42A028323
- Elements to the right of the central elements of the 5-Pascal triangle A028313 that are not 1.at n=30A028324
- 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 36.at n=20A031534
- Coordination sequence T3 for Zeolite Code CFI.at n=37A033601
- a(n) = floor(E_(n+1)/E_(n)) where E_n is n-th Euler number (see A028296 and A000364).at n=42A034971
- Number of partitions of n with equal number of parts congruent to each of 0 and 3 (mod 5).at n=34A035554
- Number of partitions of n such that cn(3,5) <= cn(0,5) = cn(1,5) <= cn(2,5) = cn(4,5).at n=63A036865
- Positive numbers having the same set of digits in base 4 and base 10.at n=28A037428
- Decimal expansion of a(n) is given by the first n terms of the periodic sequence with initial period 3,1,0,2.at n=3A037778
- Expansion of (x^3+2*x+1) / ((x-1)^4*(x^2+x+1)^2).at n=32A038391