Properties of the Number 4223

Four Thousand Two Hundred Twenty-Three

Basics

Value: 4222 → 4223 → 4224

Parity: odd

Prime: No

Previous Prime: 4219

Next Prime: 4229

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 41 × 103

Divisors: 1, 41, 103, 4223

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001111111

Octal: 10177

Duodecimal: 253B

Hexadecimal: 107f

Square: 17833729

Square Root: 64.98461356351979

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

a(n) = least k such that the remainder when 12^k is divided by k is n. A127820

(Presumed) solution to Waring's problem: g(n) = 2ⁿ + floor((3/2)ⁿ) - 2. A2804

Number of ways to choose a partition, with odd parts, of each part of a partition of n into odd parts. A300301

Number of ways to choose an odd partition of each part of an odd partition of 2n+1. A279374

Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the consecutive pattern 3412; triangle T(n,k), n>=0, 0<=k<=max(0,floor(n/2-1)), read by rows. A264319

Number of set-systems with {} that are closed under intersection and cover n vertices. A326881

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302427

a(n) = 4·n² + 4·n - 1. A73577

A sequence of asymptotic density ζ(8) - 1, where ζ is the Riemann ζ function. A143034

Fixed points in A376198. A376201