Properties of the Number 30415

Thirty Thousand Four Hundred Fifteen

Basics

Value: 30414 → 30415 → 30416

Parity: odd

Prime: No

Previous Prime: 30403

Next Prime: 30427

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 × 7 × 11 × 79

Divisors: 1, 5, 7, 11, 35, 55, 77, 79, 385, 395

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011011001111

Octal: 73317

Duodecimal: 15727

Hexadecimal: 76cf

Square: 925072225

Square Root: 174.3989678868542

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

-5-Knödel numbers. A225509

Number of nonnegative solutions to x² + y² + z² <= n². A604

Number of n-bead bracelets (turnover necklaces) with 8 red beads and n-8 black beads. A5514

Expansion of e.g.f. -1/(1-LambertW(-x)). A277458

a(n) is the smallest number such that there are exactly n numbers k (including a(n) itself) such that U(k) is isomorphic to U(a(n)) (or 0 if no such number exists). Here U(k) is the multiplicative group of integers modulo k. A303712

Number of n X 7 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 0 vertically. A207110

Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 0 vertically. A207114

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 566", based on the 5-celled von Neumann neighborhood. A272989

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 0 vertically. A207111

a(n) = ∑_{1 <= i < j <= n} (i·j)⁴. A351760