Properties of the Number 523

Five Hundred Twenty-Three

Basics

Value: 522 → 523 → 524

Parity: odd

Prime: Yes

Previous Prime: 521

Next Prime: 541

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 523

Divisors: 1, 523

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001011

Octal: 1013

Duodecimal: 377

Hexadecimal: 20b

Square: 273529

Square Root: 22.869193252058544

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

Greater of twin primes. A6512

Primes of the form 4·k + 3. A2145

Primes of the form 6m + 1. A2476

Twin primes. A1097

Primes with primitive root 2. A1122

Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 2 (most significant digit on right). A61931

Primes (lower end) with record gaps to the next consecutive prime: primes p(k) where p(k+1) - p(k) exceeds p(j+1) - p(j) for all j < k. A2386

List of twin primes {p, p+2}. A77800

a(0)=2; for n>=1, a(n) = smallest prime p such that there is a gap of exactly 2n between p and next prime, or -1 if no such prime exists. A230

Primes whose digits are primes; primes having only {2, 3, 5, 7} as digits. A19546