Properties of the Number 30005

Thirty Thousand Five

Basics

Value: 30004 → 30005 → 30006

Parity: odd

Prime: No

Previous Prime: 29989

Next Prime: 30011

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 5 × 17 × 353

Divisors: 1, 5, 17, 85, 353, 1765, 6001, 30005

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111010100110101

Octal: 72465

Duodecimal: 15445

Hexadecimal: 7535

Square: 900300025

Square Root: 173.21951391226105

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) = |b(n)|² = x² + 3·y² where (x,y,y,y) is the quaternion b(n) of the sequence b of quaternions defined by b(0)=1,b(1)=1, b(n) = b(n-1) + b(n-2)*(0,c,c,c) where c = 1/sqrt(3). A105309

Given the infinite continued fraction i+(i/(i+(i/(i+...)))), where i is the square root of (-1), this is the denominator of the real part of the convergents. A91807

Given the infinite continued fraction i+(i/(i+(i/(i+...)))), where i is the square root of (-1), this is the denominator of the imaginary part of the convergents. A91809

a(n) = 1681·n² - 2606·n + 1010. A157110

Numbers n such that there are (presumably) nine palindromes in the Reverse and Add! trajectory of n. A90070

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

Composite numbers whose sum of aliquot parts divides the sum of their unrelated numbers. A250399

Number of partitions of n into parts not of the form 17k, 17k+7 or 17k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 7 are greater than 1. A35968

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), (0, 1, -1), (1, -1, 0), (1, 1, 1)}. A149776

(prime(n)-1)(prime(n)-3)/8. A30005