Properties of the Number 4727

Four Thousand Seven Hundred Twenty-Seven

Basics

Value: 4726 → 4727 → 4728

Parity: odd

Prime: No

Previous Prime: 4723

Next Prime: 4729

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 29 × 163

Divisors: 1, 29, 163, 4727

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001001110111

Octal: 11167

Duodecimal: 289B

Hexadecimal: 1277

Square: 22344529

Square Root: 68.75318174455637

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

Sum of squares of the first n primes. A24450

Write 1,2,... in a clockwise spiral; sequence gives numbers on positive·axis. A33951

Expansion of ∏_{i in A069909} 1/(1 - xⁱ). A69911

Numbers k such that k² is palindromic in base 8. A29805

Number of integer partitions of n such that either the run-lengths or the negated run-lengths are unimodal. A332746

Decimal value of the bitmap of active segments in 7-segment display of the number n, variant 1: bits 0-6 refer to segments from top to bottom, left to right. A234691

Number of n-regular, N₀-weighted pseudographs on 2 vertices with total edge weight 8, up to isomorphism. A358248

a(n) is the number of permutations of length n that avoid the pattern 321 and the mesh pattern (12, 317) or the same sequence for the mesh patterns (12, 377), (12, 407), (12, 467). A289610

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero. A305489

Number of integer partitions of n whose ω-sequence is strict (no repeated parts). A325250