Properties of the Number 37363

Thirty-Seven Thousand Three Hundred Sixty-Three

Basics

Value: 37362 → 37363 → 37364

Parity: odd

Prime: Yes

Previous Prime: 37361

Next Prime: 37369

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 37363

Divisors: 1, 37363

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000111110011

Octal: 110763

Duodecimal: 19757

Hexadecimal: 91f3

Square: 1395993769

Square Root: 193.2951111642506

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 having only {3, 6, 7} as digits. A260380

Number of pairs (λ,μ) of partitions λ of n and μ of floor(n/2) with μ <= λ (by diagram containment). A303851

Larger of pairs of emirps (A006567) whose difference with the (smaller) reversal is a triangular number (A000217). A217286

Number of pairs (λ,μ) of partitions λ of 2n+1 and μ of n with μ <= λ (by diagram containment). A303862

Absolute discriminants of imaginary quadratic number fields with elementary bicyclic 5-class group (5,5). A359871

Primes p such that positive values of p - k! are all primes for k > 1. A68371

Prime numbers of the form (i+1)*A352185(i) + A352186(i) for some i > 0. A352338

Numbers k such that k - m! is a prime or 1 for all m > 1 and k > m!. A67530

Numbers n such that positive values of n-(k!) are all primes (k>1). A68370

Discriminants of imaginary quadratic fields with class number 25 (negated). A56987