Properties of the Number 6753

Six Thousand Seven Hundred Fifty-Three

Basics

Value: 6752 → 6753 → 6754

Parity: odd

Prime: No

Previous Prime: 6737

Next Prime: 6761

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 2251

Divisors: 1, 3, 2251, 6753

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001100001

Octal: 15141

Duodecimal: 3AA9

Hexadecimal: 1a61

Square: 45603009

Square Root: 82.17663901620703

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 partitions of n whose median is a part. A238478

a(n) = 6ⁿ - 4ⁿ + 1. A155627

a(n) = ∑_k=1..n k² * floor(n/k)². A350123

Smallest positive number whose residues modulo the first n primes are all different but whose residues modulo the first n+1 primes are not all different. A279074

Triangle of numbers of permutations eliminating just k cards out of n in game of Mousetrap. A28305

a(n) = 2*(a(n-1)+a(n-2)+a(n-3))-a(n-4) for n >= 4, with initial terms 0,0,1,1. A317974

Square root of coefficients of power series: A083352(x)² + A083352(x) - 1; term-by-term square root of A083353. A83354

Row sums of triangle A156837. A156838

Smallest positive number whose residues modulo the first n primes are all different. A279073

Number of prime parts, counted without multiplicity, in all compositions of n. A336632