3096
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 8580
- Proper Divisor Sum (Aliquot Sum)
- 5484
- 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
- 1008
- Möbius Function
- 0
- Radical
- 258
- 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
- 123
- 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
- sigma_3(n): sum of cubes of divisors of n.at n=13A001158
- Bishops on an n X n board (see Robinson paper for details).at n=7A005634
- Expansion of x*(1+x-x^2)/((1-x)^4*(1+x)).at n=31A005744
- Coordination sequence T1 for Zeolite Code MEP.at n=33A008157
- Coordination sequence T2 for Keatite.at n=31A009845
- Coordination sequence T7 for Zeolite Code VNI.at n=34A009913
- arctan(arctan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4-82/6!*x^6+3096/8!*x^8...at n=3A012435
- tanh(arctan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4-82/6!*x^6+3096/8!*x^8...at n=3A012439
- Expansion of 1/(1 - x^5 - x^6).at n=76A017837
- Define the generalized Pisot sequence T(a(0),a(1)) by: a(n+2) is the greatest integer such that a(n+2)/a(n+1) < a(n+1)/a(n). This is T(8,16).at n=9A018922
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite SGT = Sigma-2 [Si64O128].4R starting with a T3 atom.at n=11A019236
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly seven 1's.at n=14A020443
- Number of distinct products i*j*k with 1 <= i < j < k <= n.at n=37A027430
- Sum of cubes of unitary divisors of n.at n=13A034677
- Number of partitions of n with equal nonzero number of parts congruent to each of 1 and 3 (mod 5).at n=40A035567
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1 and 2 (mod 5).at n=52A035582
- Number of partitions of n with equal nonzero number of parts congruent to each of 1, 2 and 3 (mod 5).at n=53A035588
- Number of partitions satisfying (cn(0,5) = 0 and cn(2,5) <= cn(1,5) and cn(3,5) <= cn(1,5) and cn(2,5) <= cn(4,5) and cn(3,5) <= cn(4,5)).at n=39A036806
- Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,0.at n=4A037508
- Coordination sequence T15 for Zeolite Code STT.at n=37A038427