Properties of the Number 13523

Thirteen Thousand Five Hundred Twenty-Three

Basics

Value: 13522 → 13523 → 13524

Parity: odd

Prime: Yes

Previous Prime: 13513

Next Prime: 13537

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 13523

Divisors: 1, 13523

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010011010011

Octal: 32323

Duodecimal: 79AB

Hexadecimal: 34d3

Square: 182871529

Square Root: 116.28843450661807

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

Numbers k such that 3^k + 32 is prime. A219048

Palindromic primes in base 8. A29976

Father primes of order 11. A136080

Odd numbers n>5 in the representation n=2·p+q, p, q prime, q minimal, at which a larger q than for any smaller n is needed. A194829 gives values of q. A194828

Position of the incrementally largest term in continued fraction for Champernowne constant (A030167). A38705

Supersafe primes. A181841

Sum of parts that are visible in one of the three views of the shell model of partitions version "tree" with n shells. A194804

Greatest number such that the number of contiguous palindromic bit patterns in its binary representation is n, or 0, if there is no such number. A217100

Primes that remain prime through 3 iterations of function f(x) = 9x + 4. A23297

Primes p such that (p + nextprime + p) and also (p + previousprime + p) are primes. A125146