8763
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12288
- Proper Divisor Sum (Aliquot Sum)
- 3525
- 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
- 5544
- Möbius Function
- -1
- Radical
- 8763
- Omega Function (Ω)
- 3
- 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
- 47
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- n written in fractional base 9/8.at n=30A024656
- Shifts left under transform in formula line.at n=48A052336
- Numbers n whose digits in their prime factorization are the same as those of the prime factorization of n+1.at n=0A061665
- a(n) is the minimum positive integer j such that [j, j+n-1] does not contain any values of sigma(k) (i.e., sum of all positive divisors of k).at n=15A109322
- a(n) is the minimum positive integer j such that [j, j+n-1] does not contain any values of sigma(k) (i.e., sum of all positive divisors of k).at n=16A109322
- A109322 with duplicates removed.at n=6A109323
- Minimum positive integer such that length of the gap described at A109322 is exactly n (in contrast to A109322 where the gap length is >= n).at n=16A110875
- Number of partitions of n having no more odd than even parts.at n=38A171966
- a(n) = largest number k such that k and k * n taken together have distinct digits, or 0 if no such k exists.at n=22A173780
- G.f.: exp( Sum_{n>=1} sigma(3n)*x^n/n ).at n=10A182819
- Numbers n such that 4n+1 is a palindromic prime.at n=26A192261
- Number of (n+1) X (3+1) 0..1 arrays with every 2 X 2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically.at n=33A253392
- a(1) = 1; for n>1, a(n) = smallest number > a(n-1) such that the pairwise differences of elements are distinct, and for 1<m<n, a(m) does not divide a(n).at n=48A256062
- Numbers n such that n*2^607 - 1 is prime.at n=38A265499
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 934", based on the 5-celled von Neumann neighborhood.at n=30A273794
- Expansion of e.g.f. Product_{k>=1} 1/(1 - (exp(x) - 1)^(k^2)).at n=6A306082
- Number of subsets of {2..n} such that the product of the elements is a perfect power.at n=22A339555
- Number of subsets of {2..n} such that the product of the elements is a perfect power.at n=23A339555
- Number of integer partitions of n that are constant or whose part multiplicities, except possibly the first and last, are all even.at n=49A349060
- Number of minimal edge cuts in the n-antiprism graph.at n=13A378922