Properties of the Number 30509

Thirty Thousand Five Hundred Nine

Basics

Value: 30508 → 30509 → 30510

Parity: odd

Prime: Yes

Previous Prime: 30497

Next Prime: 30517

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 30509

Divisors: 1, 30509

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011100101101

Octal: 73455

Duodecimal: 157A5

Hexadecimal: 772d

Square: 930799081

Square Root: 174.6682569902156

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

Convolution of Fibonacci F(n+1), n >= 0, with F(n+3), n >= 0. A67331

Hexagonal cata-condensed helicenes with n cells (non-planar cata-fused benzenoid hydrocarbons). A38143

a(n) = a(n-1) + a(n-2) + F(n), with a(0) = 0, a(1) = 1, a(2) = a(1) + a(0), a(3) = a(2) + a(1), a(4) = a(3) + a(2) + 2. A166106

Primes of the form x² + (x+3)². A76727

Smallest k<3·2ⁿ such that 3·2ⁿ+k is the smallest of four consecutive primes in arithmetic progression or 0 if no solution. A230852

Prime numbers obtained by inserting a 0 between each pair of adjacent digits of a prime number > 10. A119680

a(n) = 2·a(n-1) + a(n-2) - 2·a(n-3) - a(n-4) for n>3, a(0)=a(1)=a(3)=0, a(2)=1. A240847

Largest prime p such that the sum of n consecutive primes plus p is equal to (n+1)³. A100572

Largest terms a(n) forming a self-convolution of an integer sequence (A132834) such that: a(n) <= 3·a(n-1) for n>0 with a(0)=1. A132833

Primorial base emirps: prime numbers whose primorial base reversal is a different prime. A333425