Properties of the Number 20427

Twenty Thousand Four Hundred Twenty-Seven

Basics

Value: 20426 → 20427 → 20428

Parity: odd

Prime: No

Previous Prime: 20411

Next Prime: 20431

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 619

Divisors: 1, 3, 11, 33, 619, 1857, 6809, 20427

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 100111111001011

Octal: 47713

Duodecimal: B9A3

Hexadecimal: 4fcb

Square: 417262329

Square Root: 142.92305622257032

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) = a(n-1) + a(n-2) + a([n/2]), where a(0) = 1, a(1) = 1, a(2) = 1. A298338

Numbers k such that σ(φ(k)) - φ(σ(k)) is nonzero and divisible by σ(k), that is A065395(k)/A000203(k) is a nonzero integer. A92588

Number of partitions of n such that the number of even parts is a part and the number of odd parts is not a part. A240577

Number of nonempty subsequences {s(k)} of 1..n such that the difference sequence is palindromic. A53599

Number of partitions p of n such that (maximal multiplicity of the parts of p) >= (maximal part of p). A240313

a(n) = (1/24)*(n + 3)*(3·n³ + 5·n² - 6·n + 16). A290061

a(n) = ∑_k=1..n σ( (n/gcd(k,n))² ). A372227

Denominators of continued fraction convergents to sqrt(698). A42343

a(n) = 5·2ⁿ - 4·n - 5. A126284

a(n) = 169·n² - 2·n. A158218