8696
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16320
- Proper Divisor Sum (Aliquot Sum)
- 7624
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4344
- Möbius Function
- 0
- Radical
- 2174
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- 140
- 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
- The generalized Conway-Guy sequence w^{2}.at n=15A006756
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite AFO = AlPO4-41 [Al20P20O80] starting with a T4 atom.at n=5A018956
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite FER = Ferrierite Na2Mg2[Al6Si30O72].18H2O starting with a T1 atom.at n=12A019130
- Number of sums S of distinct positive integers satisfying S <= n.at n=39A026906
- Numerators of continued fraction convergents to sqrt(242).at n=7A041452
- Numerators of continued fraction convergents to sqrt(338).at n=5A041638
- Sum of binary numbers with n 1's and one (non-leading) 0.at n=9A059673
- a(n) = n*(14*n^2 - 21*n + 13)/6.at n=16A071229
- Interprimes which are of the form s*prime, s=8.at n=15A075283
- Numbers k such that (k^2 - 14)/2 is a square.at n=9A077447
- Double partial sums of (n * its dyadic valuation).at n=37A090889
- Even numbers n such that n^2 is an arithmetic number.at n=36A107924
- Difference between the n-th partial sum of the squares (A000330) and the n-th partial sum of the primes (A007504).at n=30A108753
- The number of homogeneous trisubstituted linear alkanes.at n=23A159938
- Number of binary strings of length n with equal numbers of 00010 and 10011 substrings.at n=14A164222
- a(1)=1. a(n) = A005179(d(a(n-1))) + a(n-1), where d(n) = the number of divisors of n, and A005179(n) is the smallest positive integer with exactly n divisors.at n=37A175300
- Coefficient of x in the reduction by x^2 -> x+1 of the polynomial p(n,x) defined at Comments.at n=15A192965
- Triangle of coefficients of polynomials u(n,x) jointly generated with A207634; see the Formula section.at n=52A207633
- Triangle of coefficients of polynomials u(n,x) jointly generated with A210879; see the Formula section.at n=53A210878
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and w^3 < x^3 + y^3.at n=23A211650