Properties of the Number 17415

Seventeen Thousand Four Hundred Fifteen

Basics

Value: 17414 → 17415 → 17416

Parity: odd

Prime: No

Previous Prime: 17401

Next Prime: 17417

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 5 × 43

Divisors: 1, 3, 5, 9, 15, 27, 43, 45, 81, 129

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100010000000111

Octal: 42007

Duodecimal: A0B3

Hexadecimal: 4407

Square: 303282225

Square Root: 131.9659046875366

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

Triangle T(n, k) = Numbers of ways to place k points on a triangular grid of side n so that no three of them are vertices of an equilateral triangle of any orientation. Triangle read by rows. A240439

Number of ways to place 4 points on a triangular grid of side n so that no three of these points are vertices of an equilateral triangle of any orientation. A240441

Number of plane trees with n nodes where the sequence of branches directly under any given node is a chain of distinct multisets. A319380

a(n) = (8·n+1)*(8·n+7). A1533

First trisection of A028560. A147651

Triangle read by rows: T(n,k) is the number of non-crossing set partitions of {1..4n} into n sets of 4 with k of the sets being a contiguous set of elements. A334062

G:=1/product((1-x^3k-2)*(1-x^3k-1)²*(1-x^3k)³,k=1..infinity). A29864

Number of primitive Heron triangles with diameter <= 2ⁿ. A208979

Number of ways to place 7 non-attacking ferses on an n X n board. A201248

a(n) = (11·n + 2)³. A17415