Properties of the Number 27409

Twenty-Seven Thousand Four Hundred Nine

Basics

Value: 27408 → 27409 → 27410

Parity: odd

Prime: Yes

Previous Prime: 27407

Next Prime: 27427

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 27409

Divisors: 1, 27409

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101100010001

Octal: 65421

Duodecimal: 13A41

Hexadecimal: 6b11

Square: 751253281

Square Root: 165.55663683464942

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

Number of (w,x,y,z) with all terms in {1,...,n} and w³>x³+y³+z³. A212099

Primes p such that p-2 and q are primes, where q is concatenation of binary representations of p and p-2: q = p·2^L + p-2, where L is the length of binary representation of p-2: L=A070939(p-2). A232237

Numbers n such that A003146(n) = floor(α³*n)+1, where α = 1.839... is the positive real zero of x³-x²-x-1. A278353

The Hwang-Deutsch function f₄(n). A260997

Number T(n,k) of endofunctions on [n] with exactly k cycles of length larger than 1; triangle T(n,k), n>=0, 0<=k<=floor(n/2), read by rows. A350446

Numbers k such that the continued fraction for sqrt(k) has period 89. A20428

a(n) = prime(n·prime(n)). A228529

Primes p such that if q is the next prime, p+A004086(q) and q+A004086(p) are prime. A351728

a(1) = 2; thereafter, a(n) is the smallest prime not yet used which is compatible with the condition that a(n) is a non-quadratic residue modulo a(k) for the next n indices k = n + 1, n + 2, ..., 2n. A249797