Properties of the Number 18289

Eighteen Thousand Two Hundred Eighty-Nine

Basics

Value: 18288 → 18289 → 18290

Parity: odd

Prime: Yes

Previous Prime: 18287

Next Prime: 18301

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 18289

Divisors: 1, 18289

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011101110001

Octal: 43561

Duodecimal: A701

Hexadecimal: 4771

Square: 334487521

Square Root: 135.2368293032634

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

Primes that are palindromic in base 2 (but written here in base 10). A16041

Primes that remain prime when a single digit 3 is inserted between any two consecutive digits or as the leading or trailing digit. A215419

Balanced primes of order eight. A96700

Primes of the form p(k)² + q(m)² with k > 0 and m > 0, where p(.) is the partition function (A000041), and q(.) is the strict partition function (A000009). A233346

a(n) = |{m : multiplicative order of 5 mod m=n}|. A59887

Primes of the form 2·n² + 78·n + 37. A217501

Primes p such that A001175(p) = (p-1)/6. A308791

a(n) is the smallest n-digit prime term of A158594 and zero if there is no such number. A164328

First term of strong prime quintets: p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3). A54808

Numbers k such that σ(k) plus the k-th prime is a triangular number. A115907