Properties of the Number 30359

Thirty Thousand Three Hundred Fifty-Nine

Basics

Value: 30358 → 30359 → 30360

Parity: odd

Prime: No

Previous Prime: 30347

Next Prime: 30367

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 7 × 4337

Divisors: 1, 7, 4337, 30359

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011010010111

Octal: 73227

Duodecimal: 1569B

Hexadecimal: 7697

Square: 921668881

Square Root: 174.23834250818618

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 length n 0..k arrays with each partial sum starting from the beginning no more than one standard deviation from its mean. A244788

Number of simple imperfect squared rectangles of order n up to symmetry. A2881

Numbers k such that 2·k+1, 3·k+2, 4·k+3 and 5·k+4 are primes. A138700

a(n) = A007290(n+2) - 1 = 2·C(n+2,3) - 1. A108766

Numbers k such that k and k+2 are both A000120-perfect numbers (A175522). A360639

Expansion of g.f. (1+2·x+3·x²)/(1-x-x²-x³-x⁴). A28831

Number of length n 0..6 arrays with each partial sum starting from the beginning no more than one standard deviation from its mean. A244786

Number of length 6 0..n arrays with each partial sum starting from the beginning no more than one standard deviation from its mean. A244794

Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 1100-1111-0001 pattern in any orientation. A146853

Least number k such that n·T_k +/- 1 is prime. A125768