Properties of the Number 37409

Thirty-Seven Thousand Four Hundred Nine

Basics

Value: 37408 → 37409 → 37410

Parity: odd

Prime: Yes

Previous Prime: 37397

Next Prime: 37423

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 37409

Divisors: 1, 37409

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001000100001

Octal: 111041

Duodecimal: 19795

Hexadecimal: 9221

Square: 1399433281

Square Root: 193.4140636044856

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) = ∑_k=0..n-3 T(n,k) * T(n,k+3), with T given by A026626. A26964

Primes equal to an octagonal number plus 1. A285792

Total number of parts equal to 1 in all plane partitions of n. A90539

Primes p such that googol - p is prime. A108252

Primes (with d digits, say) that generate another prime when acted on by the "standard" superpermutation of length A007489(d) of d elements (cf. comment). A244311

Primes p such that p³ +- (p+1) are primes. A137472

Numerator of the limiting density of residues attained by the Fibonacci sequence modulo powers of the n-th prime. A350999

Primes such that x¹⁶ = 2 has a solution in Z/pZ, but x³² = 2 does not. A373468

Positive numbers having the same set of digits in base 2 and base 4. A37409