Properties of the Number 30505

Thirty Thousand Five Hundred Five

Basics

Value: 30504 → 30505 → 30506

Parity: odd

Prime: No

Previous Prime: 30497

Next Prime: 30509

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 × 6101

Divisors: 1, 5, 6101, 30505

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011100101001

Octal: 73451

Duodecimal: 157A1

Hexadecimal: 7729

Square: 930555025

Square Root: 174.6568063374571

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

Number of partitions of n containing a clique of size 4. A183561

Downward vertical of triangular spiral in A051682. A81272

G.f.: (1+x+x²-sqrt(1+2x+3x²-2x³+x⁴))/2. A129509

Consecutive states of the linear congruential pseudo-random number generator 20403·s mod 2¹⁵ when started at s=1. A384196

a(n) = A333650(n, 3) for n >= 3; a(1) = a(2) = 0. A339493

Numbers k such that k and k² use only the digits 0, 2, 3, 5 and 9. A136891

Expansion of (1 - x + x² + sqrt(1 + 2·x + 3·x² - 2·x³ + x⁴)) / 2 in powers of x. A239466

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 1), (1, 0, 0), (1, 0, 1), (1, 1, -1)}. A150419

Graham-Sloane-type lower bound on the size of a ternary (n,3,5) constant-weight code. A30505