8813
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 1267
- 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
- 7548
- Möbius Function
- 1
- Radical
- 8813
- Omega Function (Ω)
- 2
- 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
- 52
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Conjectured formula for irreducible 5-fold Euler sums of weight 2n+13.at n=38A019450
- Expansion of Product_{k>=1} (1 - x^k)^(-k^2).at n=10A023871
- Denominators of continued fraction convergents to sqrt(347).at n=10A041657
- a(n) is the smallest value of m such that A002378(m), the m-th oblong number, contains exactly n 7's.at n=4A048543
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 20.at n=21A050969
- Number of chiral invertible prime knots with n crossings.at n=13A051769
- a(n)/n^2 is the minimal average squared Euclidean distance of n points to their center of gravity among all configurations of n points on the hexagonal lattice.at n=39A059518
- Numbers n such that phi((prime(n)+1)/2)=sigma(n).at n=26A068473
- Interprimes which are of the form s*prime, s=7.at n=8A075282
- a(n) = (A085249(n) - 1)/6.at n=16A088349
- Triangle read by rows: number of Dyck paths of semilength n with k peaks before the first return (1<= k <n).at n=50A101974
- Triangle read by rows: number of Dyck paths of semilength n with k peaks after the first return (0 <= k < n).at n=60A101975
- Indices of Glaisher-primes: values n such that the concatenation of the first n decimal digits of the Glaisher-Kinkelin constant is prime.at n=8A118420
- Number of base 17 n-digit numbers with adjacent digits differing by four or less.at n=4A126512
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 0), (-1, 1, 1), (0, 1, -1), (1, 0, 1)}.at n=8A149342
- Numbers n such that n^2 contains no digit less than 5.at n=36A175471
- Central coefficients of the Riordan matrix (g(x),x*g(x)), where g(x) = (1-x-sqrt(1-2x-3x^2-4x^3))/(2*x^2*(1+x)) (A190252).at n=6A190253
- Nonnegative integers whose English number-words have the identical number of letters contributing to each represented letter-frequency.at n=59A216163
- Number of ways to dissect a square into n squares up to symmetry.at n=13A221841
- Number of 4 X n 0..1 arrays with antidiagonals unimodal and rows and diagonals nondecreasing.at n=18A224040