6936
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 18420
- Proper Divisor Sum (Aliquot Sum)
- 11484
- 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
- 2176
- Möbius Function
- 0
- Radical
- 102
- 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
- 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
- 4-dimensional pyramidal numbers: a(n) = n^2*(n^2-1)/12.at n=17A002415
- 12-gonal (or dodecagonal) pyramidal numbers: a(n) = n*(n+1)*(10*n-7)/6.at n=16A007587
- Coordination sequence for NiAs(1), As position.at n=34A009943
- Bisection of A001400.at n=47A014125
- Define the 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) for n >= 0. This is T(2,8).at n=6A018916
- Even numbers to the left of the central elements of the (2,1)-Pascal triangle A029653.at n=53A029665
- 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 19.at n=43A031517
- a(n) = 6*n^2.at n=34A033581
- Denominators of continued fraction convergents to sqrt(580).at n=3A042111
- A 3-way generalization of series-parallel networks with n unlabeled edges.at n=10A058534
- a(n) = 2*n*(2*n^2 + 1).at n=12A061804
- Nearest integer to (-1)^n*n!*(E(n,2)-E(n,1)*E(n-1,1)) where E(n,x) = Sum_{k=0..n} (-1)^k*x^k/k!.at n=16A065954
- a(n) = ceiling((-1)^n*n!*(E(n,2)-E(n,1)*E(n-1,1))) where E(n,x) = Sum_{k=0..n} (-1)^k*x^k/k!.at n=16A065956
- Multiples of 24 whose digits also sum to 24.at n=22A066270
- Sum of terms in each group in A074147.at n=23A074149
- Sums of terms of groups in A075621.at n=23A075625
- Numbers n such that the digital binary sum of n equals core(n), the squarefree part of n.at n=32A077476
- Numbers n such that (Product of first n twin prime pair averages [A014574]) - 1 is prime.at n=11A079140
- An interleaved sequence of pyramidal and polygonal numbers.at n=32A081283
- Partial sums of n 3-spaced triangular numbers beginning with t(3), e.g., a(2) = t(3)+t(6) = 6+21 = 27.at n=15A085788