Properties of the Number 6772

Six Thousand Seven Hundred Seventy-Two

Basics

Value: 6771 → 6772 → 6773

Parity: even

Prime: No

Previous Prime: 6763

Next Prime: 6779

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 1693

Divisors: 1, 2, 4, 1693, 3386, 6772

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101001110100

Octal: 15164

Duodecimal: 3B04

Hexadecimal: 1a74

Square: 45859984

Square Root: 82.29216244576394

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 whose product of parts is >= n. A319005

Number T(n,k) of permutations p of [n] such that in 0p the largest up-jump equals k and no down-jump is larger than 2; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A291680

Number of partitions of n such that all parts, with the possible exception of the smallest, appear only once. A115029

a(n)² is a square whose digits occur with an equal minimum frequency of 2. A52049

Binary encoding of quadratic residue set of n. L(1/n) is the most significant bit, L(n-1/n) is the least significant bit, i.e., the rows of A055088 interpreted as binary numbers. A55094

Numbers k such that 2^k + 25 is prime. A157006

Numbers that are the sum of seven fourth powers in four or more ways. A345570

Numbers that are the sum of seven fourth powers in five or more ways. A345571

Numbers that are the sum of seven fourth powers in exactly five ways. A345827

3·Volume of the root-n Waterman polyhedron of void-center type as defined in A119870. A119878