Properties of the Number 76305

Seventy-Six Thousand Three Hundred Five

Basics

Value: 76304 → 76305 → 76306

Parity: odd

Prime: No

Previous Prime: 76303

Next Prime: 76333

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 5087

Divisors: 1, 3, 5, 15, 5087, 15261, 25435, 76305

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010101000010001

Octal: 225021

Duodecimal: 381A9

Hexadecimal: 12a11

Square: 5822453025

Square Root: 276.2335967980723

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

Triangle T(n,k) read by rows: number of permutations in [n] with exactly k ascents that have an even number of inversions. A128612

Triangle read by rows: T(n,k) is the number of odd permutations of {1,2,...,n} having k descents. (n>=1, k>=1). A145883

Triangle T(n,k) read by rows: number of permutations in [n] with exactly k ascents that have an odd number of inversions. A128613

a(n) = integer nearest a(n-1)/(sqrt(7) - 2), where a(1) = 1. A24567

a(n) = ∑_k=m..n T(k,n-k), where m = floor((n+1)/2); a(n) is the n-th diagonal-sum of left justified array T given by A027948. A27959

Numbers k such that ∑_i=1..k d(i)² is a square c², where d(i) is the number of divisors of i. A186429

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (0, -1, 1), (0, 1, 1), (1, 0, -1)}. A148932

Triangle read by rows: T(n,k) is the number of even permutations of {1,2,...,n} having k descents (n >= 1, k >= 0). A145882

E.g.f.: exp(9·x*G(x)⁸) / G(x)⁸ where G(x) = 1 + x·G(x)⁹ is the g.f. of A062994. A251579

Numbers k such that prime(k) + prime(k+1) + prime(k+2) is a square. A76305