8292
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 19376
- Proper Divisor Sum (Aliquot Sum)
- 11084
- 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
- 2760
- Möbius Function
- 0
- Radical
- 4146
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 39
- 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
- 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=12A019236
- 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 60.at n=30A031558
- Number of partitions satisfying (cn(2,5) = cn(3,5) and cn(2,5) <= cn(1,5) and cn(2,5) <= cn(4,5)).at n=46A036808
- Numbers having three 3's in base 9.at n=34A043467
- a(n) = Sum_{i=1..n} T(i,n-i), where T is A049615.at n=47A049616
- a(n) = T(n,n-4), array T as in A055807.at n=32A055809
- Integer part of log(n!)^(1 + log(log(1 + n))).at n=25A062475
- Number of subsets of {1,2,...,n} that contain the average of their elements.at n=16A065795
- Numbers k that divide A039916(k).at n=10A065965
- Number of anisohedral polyiamonds with n cells.at n=21A075224
- Interprimes which are of the form s*prime, s=12.at n=22A075287
- a(n) = prime(n) + prime(n^2).at n=31A092504
- Numbers k with property that k is a peak value in 3x+1 trajectory such that both k+1 and k-1 are prime numbers.at n=33A095385
- Partial sums of A107947.at n=43A107957
- Numbers n such that the numerator of BernoulliB[n] is divisible by 691.at n=29A119864
- a(1)=2; a(n)=floor((13+sum(a(1) to a(n-1)))/6).at n=55A120179
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (0, 1, 0), (1, -1, 1), (1, 0, -1)}.at n=9A148392
- Averages of twin prime pairs of A154546.at n=33A154548
- Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any horizontal, diagonal or antidiagonal neighbor.at n=3A182070
- The number of triangles in an equipotential triangle divided by medians into n rows of smaller triangles.at n=9A210687