Properties of the Number 30421

Thirty Thousand Four Hundred Twenty-One

Basics

Value: 30420 → 30421 → 30422

Parity: odd

Prime: No

Previous Prime: 30403

Next Prime: 30427

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 29 × 1049

Divisors: 1, 29, 1049, 30421

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011011010101

Octal: 73325

Duodecimal: 15731

Hexadecimal: 76d5

Square: 925437241

Square Root: 174.4161689752415

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

Expansion of 1/(1-x*(1-6·x)). A145934

a(n) = n-th centered n-gonal number. A100119

a(n) = 20·n² + 1. A158493

a(n) = ∑_{1 <= x₁, x₂, x₃ <= n} ( gcd(x₁, n)/gcd(x₁, x₂, x₃, n) )². A371492

Number of squarefree integers with an odd number of prime factors <= 10ⁿ. A348708

Number of 8-step S, E, and NW-moving king's tours on an n X n board summed over all starting positions. A187513

Semiprimes of the form 5·n² + 1. A212707

Expansion of A(x) satisfying -x = ∑_n=-oo..+oo (-x)ⁿ * (1 - (-x)ⁿ)ⁿ / A(x)ⁿ. A363139

Integers·such that [f(0), f(f(0)), ..., f(...f(0)...)] is a permutation of [0, 1, ..., k-1], where k is the number of digits in·and f(a) denotes the 0-based index of the first occurrence of the substring a in x. A307620

Ménage numbers: a(0) = 1, a(1) = -1, and for n >= 2, a(n) = number of permutations s of [0, ..., n-1] such that s(i) ≠ i and s(i) ≠ i+1 (mod n) for all i. A179