Properties of the Number 6775

Six Thousand Seven Hundred Seventy-Five

Basics

Value: 6774 → 6775 → 6776

Parity: odd

Prime: No

Previous Prime: 6763

Next Prime: 6779

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 ² × 271

Divisors: 1, 5, 25, 271, 1355, 6775

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1101001110111

Octal: 15167

Duodecimal: 3B07

Hexadecimal: 1a77

Square: 45900625

Square Root: 82.31038816577164

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

Number of integer partitions of n containing their multiset of multiplicities (as a submultiset). A325702

Integers that need 6 iterations of the map x->A352172(x) to reach 1. A352264

Composite numbers k such that A075254(k) is a square. A386246

a(n) = 14·n² - 1. A158485

Numbers that are the sum of ten fourth powers in seven or more ways. A345600

Numbers that are the sum of ten fourth powers in exactly seven ways. A345859

Expansion of ∏_m>=1 (1+q^m)^-5. A22600

Numbers of the form 12n+7 for which ∑_i=0..(4n+2) J(i,12n+7) = 0, where J(i,m) is the Jacobi symbol. A165463

Number of different positions in which a square with side length k, 1 <= k <= n - floor(n/3), can be placed within a bi-symmetric triangle of 1 X 1 squares of height n. A241526

G.f. A(x) satisfies: ∑_n>=0 ∏_k=1..n x^n+1-k - A(x)^k = 1. A306088