Properties of the Number 409

Four Hundred Nine

Basics

Value: 408 → 409 → 410

Parity: odd

Prime: Yes

Previous Prime: 401

Next Prime: 419

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 409

Divisors: 1, 409

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011001

Octal: 631

Duodecimal: 2A1

Hexadecimal: 199

Square: 167281

Square Root: 20.223748416156685

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

Pythagorean primes: primes of the form 4·k + 1. A2144

Primes of the form 6m + 1. A2476

Ramanujan primes R_n: a(n) is the smallest number such that if x >= a(n), then π(x) - π(x/2) >= n, where π(x) is the number of primes <= x. A104272

Centered triangular numbers: a(n) = 3·n*(n-1)/2 + 1. A5448

Primes congruent to 1 or 2 modulo 4; or, primes of form x² + y²; or, -1 is a square mod p. A2313

Primes congruent to 1 (mod 12). A68228

Primes of form 8n+1, that is, primes congruent to 1 mod 8. A7519

Single (or isolated or non-twin) primes: Primes p such that neither p-2 nor p+2 is prime. A7510

Generalized cuban primes: primes of the form x² + xy + y²; or primes of the form x² + 3·y²; or primes == 0 or 1 (mod 3). A7645

Primes congruent to {0, 1, 4} mod 5. A38872