Properties of the Number 7760

Seven Thousand Seven Hundred Sixty

Basics

Value: 7759 → 7760 → 7761

Parity: even

Prime: No

Previous Prime: 7759

Next Prime: 7789

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 5 × 97

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1111001010000

Octal: 17120

Duodecimal: 45A8

Hexadecimal: 1e50

Square: 60217600

Square Root: 88.09086218218096

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

Numbers n such that the decimal expansions of both n and n² have 0 as smallest digit and 7 as largest digit. A256634

Expansion of f(x, -x⁴) / φ(-x²) in powers of·where f(, ) and φ() are Ramanujan θ functions. A122135

Expansion of ∑_k>=0 x^k²+k/((1-x)(1-x²)...(1-x^2k)). A122134

Number of partitions of n into at most 6 parts. A1402

Number of partitions of n in which the greatest part is 6. A26812

Number of partitions of n into parts not greater than sqrt(n). A97356

T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally, diagonally or antidiagonally adjacent to some 0 one less than the number of 0's adjacent to some 1. A285750

Expansion of Molien series for 8-dimensional real Clifford group 2¹⁺⁶.Alt₈.2 of genus 3 and order 5160960. A24186

a(n) = 6·a(n-5) - a(n-10) + 98 with a(0)=0, a(1)=11, a(2)=35, a(3)=56, a(4)=104, a(5)=147, a(6)=204, a(7)=336, a(8)=455, a(9)=731. A118554

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with values 0..2 introduced in row major order. A231219