Properties of the Number 30605

Thirty Thousand Six Hundred Five

Basics

Value: 30604 → 30605 → 30606

Parity: odd

Prime: No

Previous Prime: 30593

Next Prime: 30631

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5 × 6121

Divisors: 1, 5, 6121, 30605

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011110001101

Octal: 73615

Duodecimal: 15865

Hexadecimal: 778d

Square: 936666025

Square Root: 174.94284781036347

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

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-1,-2) (0,-1) or (-1,0) and new values introduced in order 0..2. A274749

The sum of the numbers on straight lines of incrementing length n when drawn over numbers of the square spiral, where each line contains numbers which sum to the minimum possible value, and each number on the spiral can only be in one line. If two or more lines exist with the same sum the one containing the smallest number is chosen. A340974

Numbers k such that k²+k+9 is a palindrome. A27726

Total sum of the left-to-right strict peak maxima in all Dyck paths of semilength n. A346194

Sum of the second moments of all partitions of n with weights starting from 0. A66188

Number of distinct values of the sum of 5 products of three 0..n integers. A225262

Number of (n+2)X(1+2) nonnegative integer arrays with all values the knight distance from the upper left minus as much as 1, with successive minimum path knight move differences either 0 or +1, and any unreachable value zero. A253417

Number of 3 X n 0..2 arrays with no element equal to any value at offset (-1,-2) (0,-1) or (-1,0) and new values introduced in order 0..2. A274750

Number of valid hook configurations of 312-avoiding permutations of [n]. A307786

Position of n-th 0 in A030604 (previous version). A30605