Properties of the Number 17115

Seventeen Thousand One Hundred Fifteen

Basics

Value: 17114 → 17115 → 17116

Parity: odd

Prime: No

Previous Prime: 17107

Next Prime: 17117

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 7 × 163

Divisors: 1, 3, 5, 7, 15, 21, 35, 105, 163, 489

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001011011011

Octal: 41333

Duodecimal: 9AA3

Hexadecimal: 42db

Square: 292923225

Square Root: 130.82430966758434

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

Partial sums of A299281. A299282

a(n) = n*(14·n - 1). A195024

Digitally balanced numbers in base 4: equal numbers of 0's, 1's, ... 3's. A49355

Number of regions among all distinct circles that can be constructed from the 3 vertices and the equally spaced 3·n points placed on the sides of an equilateral triangle, using only a compass. A372615

Sum of the smallest parts in the partitions of n into 7 parts. A308927

Sum of terms in n-th row of A077316. A77318

G.f.: exp( ∑_n>=1 xⁿ/n * ∏_k>=1 1/(1 - x^n·k*(1 + xⁿ)^k) ). A219230

Number of partitions of n in which any two parts differ by at most 7. A218509

Numbers k such that (k-1)*binomial(2k,k) + 1 is prime. A85793

Consider the triangle in which the j-th row begins with prime(j) and is the arithmetic progression with least common difference such that the remaining j-1 terms are composite and not divisible by prime(j). Sequence gives last term in each row. A95182