Properties of the Number 5761

Five Thousand Seven Hundred Sixty-One

Basics

Value: 5760 → 5761 → 5762

Parity: odd

Prime: No

Previous Prime: 5749

Next Prime: 5779

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 × 823

Divisors: 1, 7, 823, 5761

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011010000001

Octal: 13201

Duodecimal: 3401

Hexadecimal: 1681

Square: 33189121

Square Root: 75.9012516365837

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 read by rows: T(n,k) = number of step shifted (decimated) sequence structures of length n using exactly k different symbols. A288620

T(n,k)=Number of length (n+k)X1 arrays of occupancy after each element moves up to +-k places but not 0. A222555

T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors. A282862

a(n) = 10·n² + 1. A158187

Let A(n) = #{(i,j): i² + j² <= n}, V(n) = π*n, P(n) = A(n) - V(n); A000099 gives values of n where |P(n)| sets a new record; sequence gives A(A000099(n)). A323

Number of degree-n permutations of order dividing 7. A53497

Triangle, read by rows, where the g.f. of row n, R_n(x), is a polynomial of degree n that satisfies: [x^k] R_n+1(x) = [x^k] (1 + x·R_n(x))ⁿ⁺¹ for k=0..n+1, with R₀(x) = 1. A108990

a(n) = 5·n² + 20·n + 1. A162316

Concentric 24-gonal numbers. A195158

a(0)=a(1)=1, a(n) = least k > a(n-1) such that k·a(n-2) is a triangular number. A214961