Properties of the Number 30406

Thirty Thousand Four Hundred Six

Basics

Value: 30405 → 30406 → 30407

Parity: even

Prime: No

Previous Prime: 30403

Next Prime: 30427

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 23 × 661

Divisors: 1, 2, 23, 46, 661, 1322, 15203, 30406

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011011000110

Octal: 73306

Duodecimal: 1571A

Hexadecimal: 76c6

Square: 924524836

Square Root: 174.37316307276186

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) is the smallest k >= 2 such that k^2ⁿ+1 is prime, or -1 if no such k exists. A56993

Numbers k such that k^2¹³ + 1 is prime (a generalized Fermat prime). A226528

Sum of the largest parts of all compositions of n into distinct parts. A336903

Signed recurrence over enriched p-trees: a(n) = (-1)^{n - 1} + ∑_{y1 + ... + yk = n, y1 >= ... >= yk > 0, k > 1} a(y1) * ... * a(yk). A300863

Records in A362451. A362456

G.f. A(x) = lim_n->infinity (P(n) - 1)/(2·x)ⁿ, where P(1,x) = 1/sqrt(1-4·x), and P(n+1,x) = 1/sqrt(1 - 4·x + 4·x/P(n,x)) for n >= 1. A351509

a(n)=least k such that base 4 representation of n begins at s(k), where s=A030401. A30406

Number of primes of the form 1 + b⁸¹⁹² for 1 < b < 10ⁿ. A215961