Properties of the Number 4997

Four Thousand Nine Hundred Ninety-Seven

Basics

Value: 4996 → 4997 → 4998

Parity: odd

Prime: No

Previous Prime: 4993

Next Prime: 4999

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 19 × 263

Divisors: 1, 19, 263, 4997

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110000101

Octal: 11605

Duodecimal: 2A85

Hexadecimal: 1385

Square: 24970009

Square Root: 70.68946173228369

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

Coordination sequence for "cab" 3D uniform tiling formed from octahedra and truncated cubes. A299266

Coordination sequence for (3,3,4) tiling of hyperbolic plane. A265071

a(n) = n*(14·n-3). A185019

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 1 or 3 neighboring 1s. A297607

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any west or northeast neighbors modulo n and the upper left element equal to 0. A267742

a(n) = n*(7·n-3)/2. A218471

Number of partitions of n having depth 2; see Comments. A237750

The number of φ-partitions of n. A283528

a(n) = 1 + ∑_k=2..n (-1)^k * k² * a(floor(n/k)). A361983

Numbers which need nine 'Reverse and Add' steps to reach a palindrome. A65214