Properties of the Number 95503

Ninety-Five Thousand Five Hundred Three

Basics

Value: 95502 → 95503 → 95504

Parity: odd

Prime: No

Previous Prime: 95483

Next Prime: 95507

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 43 × 2221

Divisors: 1, 43, 2221, 95503

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10111010100001111

Octal: 272417

Duodecimal: 47327

Hexadecimal: 1750f

Square: 9120823009

Square Root: 309.0355966551426

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Sum of multinomial coefficients (n₁+n₂+...)!/(n₁!*n₂!*...) where (n₁, n₂, ...) runs over all integer partitions of n. A5651

Number T(n,k) of partitions of n where each part i is marked with a word of length i over a k-ary alphabet whose letters appear in alphabetical order and all k letters occur at least once in the partition; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A261719

Number T(n,k) of colored integer partitions of n using all colors of a k-set such that parts i have distinct color patterns in arbitrary order and each pattern for a part i has i colors in (weakly) increasing order; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A309973

Sum T(n,k) of multinomials M(n; λ), where λ ranges over all partitions of n into parts incorporating k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A327801

Rectangular table where T(n,k) is the sum of the n-th powers of the k-th row of multinomial coefficients in triangle A036038 for n>=0, k>=0, as read by antidiagonals. A183610

Number of n-length words w over an 8-ary alphabet {a1,a2,...,a8} such that #(w,a1) >= #(w,a2) >= ... >= #(w,a8) >= 0, where #(w,x) counts the letters·in word w. A226878

Number of n-length words w over a 9-ary alphabet {a1,a2,...,a9} such that #(w,a1) >= #(w,a2) >= ... >= #(w,a9) >= 0, where #(w,x) counts the letters·in word w. A226879

Number of n-length words w over a 10-ary alphabet {a1,a2,...,a10} such that #(w,a1) >= #(w,a2) >= ... >= #(w,a10) >= 0, where #(w,x) counts the letters·in word w. A226880

Sum of numbers of y-multisets of divisors of·for each x >= 1, y >= 0, x + y = n. A343661

a(n) = ∑_{k=0..binomial(n,2)} (-1)^k*A152534(n,k). A152536