8196
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
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 19152
- Proper Divisor Sum (Aliquot Sum)
- 10956
- 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
- 2728
- Möbius Function
- 0
- Radical
- 4098
- 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
- 158
- Smith Number
- yes
- 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
- Number of n-step self-avoiding walks on diamond.at n=8A001394
- Number of partitions of 3n into n parts from the set {0, 1, ..., 6} (repetitions admissible).at n=22A001977
- Numbers that are the sum of 12 positive 10th powers.at n=8A004812
- Numbers that are the sum of 8 positive 11th powers.at n=4A004819
- Numbers that are the sum of at most 8 positive 11th powers.at n=34A004914
- Numbers that are the sum of at most 11 positive 11th powers.at n=46A004917
- Number of nonequivalent dissections of a polygon into n pentagons by nonintersecting diagonals up to rotation and reflection.at n=7A005040
- McKay-Thompson series of class 5B for the Monster group with a(0) = 0.at n=22A007252
- a(n) = a(n-1) + a(n-1-(number of odd terms so far)).at n=33A007604
- Numbers k such that k | 8^k + 8.at n=21A015897
- T(2n+1,n+2), T given by A026769.at n=6A026888
- Partial sums of primes congruent to 5 mod 6.at n=41A038361
- McKay-Thompson series of class 5B for the Monster group with a(0) = 1.at n=22A045483
- Same rule as Aitken triangle (A011971) except a(0,0)=0, a(1,0)=1.at n=42A046936
- a(n) = 1 - (7/6)*n + (2/3)*n^3 + (1/2)*n^4.at n=11A046998
- a(n)^2 is a square whose digits occur with an equal minimum frequency of 2.at n=33A052049
- Let p and q be two prime numbers, not necessarily consecutive, such that q - p = 2n; then a(n) is the number of partitions of 2n into even numbers so that each partition corresponds to a consecutive prime difference pattern (k-tuple) and p <= A000230(n).at n=45A079023
- A Jacobsthal-Lucas convolution.at n=12A099429
- An inverse Chebyshev transform of the Jacobsthal numbers.at n=11A100096
- Expansion of (1+2*x^3)/(1-x+x^3-2*x^4).at n=34A103750