Properties of the Number 30315

Thirty Thousand Three Hundred Fifteen

Basics

Value: 30314 → 30315 → 30316

Parity: odd

Prime: No

Previous Prime: 30313

Next Prime: 30319

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 43 × 47

Divisors: 1, 3, 5, 15, 43, 47, 129, 141, 215, 235

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011001101011

Octal: 73153

Duodecimal: 15663

Hexadecimal: 766b

Square: 918999225

Square Root: 174.11203289836115

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 integer partitions of n whose length can be written as a nonnegative linear combination of the distinct parts. A367218

a(n) = (2·n - 1)*(7·n² - 7·n + 6)/6. A63490

T(n,k)=Number of length n+2 0..k arrays with the sum of the maximum minus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero. A252177

Partial sums of A000132. A175360

Auxiliary c(n) sequence used to prove some properties about Rowland's sequence. c(n) has the following recursive definition: c(1) = 5, c_n+1 = c(n) + lfp(c(n)) - 1, where lpf(.) denotes the lowest prime factor of a number. A190894

a(n) = (2·n+1)*(2·n+3)*(2·n+5)/3. A162540

Perimeters of more than one primitive 120-degree integer triangle. A350047

Number of unordered pairs of partitions of n with the same number of parts. A387259

Number of length n+2 0..4 arrays with the sum of the maximum minus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero. A252173

Number of length 5+2 0..n arrays with the sum of the maximum minus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero. A252181