8760
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
- 32
- Divisor Sum
- 26640
- Proper Divisor Sum (Aliquot Sum)
- 17880
- 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
- 2304
- Möbius Function
- 0
- Radical
- 2190
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 78
- 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
- Number of Hamiltonian paths in K_5 X P_n.at n=1A003750
- Largest determinant of 2n+1 X 2n+1 matrix with entries +-1 and 0 diagonal.at n=3A007842
- Fibonacci sequence beginning 2, 22.at n=14A022373
- n written in fractional base 9/8.at n=27A024656
- Number of ways to place a non-attacking white and black bishop on n X n chessboard.at n=9A035288
- Base 9 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,0.at n=4A037602
- Numbers k such that phi(x) = k has exactly 11 solutions.at n=30A060674
- Nearest integer to (Product(n^((1 + log(i))/i^2), {i, 1, n})).at n=41A062483
- Triangle T(n,k) = d(n-k,n), 0 <= k <= n, where d(l,m) = Sum_{k=l..m} 2^k * binomial(2*m-2*k, m-k) * binomial(m+k, m) * binomial(k, l).at n=12A067001
- Differences between two successive prime powers of prime numbers (A076707) in more than one way.at n=28A077257
- Integers that occur more than once as the difference of the squares of two consecutive primes.at n=36A078667
- Radius of inscribed circle within primitive Pythagorean triangles having legs that add up to a square, sorted on hypotenuse.at n=30A089551
- Numbers that can be expressed as the difference of the squares of consecutive primes in just two distinct ways.at n=33A090784
- Numbers that can be expressed as the difference of the squares of primes in exactly four distinct ways.at n=23A092000
- Triangular matchstick numbers in the class of prime numbers: sum of n-th and next n primes.at n=34A105720
- Numbers k such that k * (k + 8) is the concatenation of a number m with itself.at n=7A116292
- Numbers k such that 22*3^k + 1 is prime.at n=34A120491
- Coefficients of a polynomial representation of the integral of 1/(x^4 + 2*a*x^2 + 1)^(n+1) from x = 0 to infinity.at n=12A126936
- Triangle of numbers obtained from the partition array A134133.at n=38A134134
- Sums of the products of n consecutive quadruples of numbers.at n=2A135038