8076
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
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 18872
- Proper Divisor Sum (Aliquot Sum)
- 10796
- 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
- 2688
- Möbius Function
- 0
- Radical
- 4038
- 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
- 114
- 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
- High-temperature series for spin-1/2 Ising magnetic susceptibility on diamond structure.at n=8A003119
- Number of 4-ary rooted trees with n nodes and height at most 7.at n=13A036612
- Numerators of continued fraction convergents to sqrt(826).at n=8A042594
- Number of equilateral triangles formed out of matches that can be found in a hexagonal chunk of side length n in hexagonal array of matchsticks.at n=13A045949
- Ratio A095110(n)/A000079(n-2) rounded down.at n=13A095361
- Ratio A095110(n)/A000079(n-2) rounded to nearest integer.at n=13A095362
- a(1)=1. a(n) = a(n-1) + sum of the squares which are among the first (n-1) terms of the sequence.at n=33A101135
- a(n) is the number of nonnegative integers k less than 10^n such that the decimal representation of k lacks at least one of digits 1,2, at least one of digits 3,4 and at least one of digits 5,6,7,8,9.at n=3A125945
- a(1)=1, a(n)=a(n-1)+n if n even, a(n)=a(n-1)+n^2 if n is odd.at n=34A136047
- Maximal length of rook tour on an n X n+2 board.at n=21A152133
- Numbers k such that k^3 +-7 are primes.at n=27A176685
- Number of compositions of n such that the number of parts and the smallest part are coprime.at n=13A199888
- G.f. satisfies: A(x) = Sum_{n>=0} 3^n*A(x)^n * x^(n^2) / Product_{k=1..n} (1 - 3*x^k)*(1 - x^k*A(x)).at n=5A206638
- Number of n-bead necklaces labeled with numbers -2..2 allowing reversal, with sum zero with no three beads in a row equal.at n=8A209338
- T(n,k) is the number of n-bead necklaces labeled with numbers -k..k allowing reversal, with sum zero with no three beads in a row equal.at n=53A209344
- a(n) = number of n-lettered words in the alphabet {1, 2, 3, 4} with as many occurrences of the substring (consecutive subword) [1, 1] as of [2, 3].at n=7A211305
- Antidiagonal sums of the convolution array A213590.at n=9A213557
- Number of compositions of n where the difference between largest and smallest parts equals 6 and adjacent parts are unequal.at n=14A214275
- Number of nX2 0..1 arrays with no more than floor(nX2/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..1 order.at n=12A222354
- Number of partitions of n into distinct parts with boundary size 7.at n=34A227564