Properties of the Number 15415

Fifteen Thousand Four Hundred Fifteen

Basics

Value: 15414 → 15415 → 15416

Parity: odd

Prime: No

Previous Prime: 15413

Next Prime: 15427

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 3083

Divisors: 1, 5, 3083, 15415

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11110000110111

Octal: 36067

Duodecimal: 8B07

Hexadecimal: 3c37

Square: 237622225

Square Root: 124.15715847263903

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

a(n) = 2*(-i)ⁿ*(n·sin(c*(n+1)) - i·sin(-c·n))/sqrt(5) where c = arccos(i/2). A354044

The number of dominance pairs of integer partitions of n according to either/or dominance order, where dominance between two partitions·and y means that·is majorized by y or y is majorized by x. A182988

Smallest positive integer in the primitive cycle(s) under iteration by the 3x-k function, where k=A226630(n). A226633

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 475", based on the 5-celled von Neumann neighborhood. A288500

Irregular table: n-th row polynomial given by the formal power series expansion of ∑_{k >= 0} (1 + q)^{n·k + k*(k+1}/2)* ∏_{j = 1..k} (1 - (1 + q)^j), n >= 1. A340880

a(n) = ∑_j=1..n ∑_k=1..n τ(j·k). A372674

From expansion of falling factorials. A5492

Fibonacci sequence beginning 1, 15. A22105

Moessner triangle based on A000217. A125777

Numbers k such that 2·10^k + R_k + 8 is prime, where R_k = 11...1 is the repunit (A002275) of length k. A102950