Properties of the Number 10115

Ten Thousand One Hundred Fifteen

Basics

Value: 10114 → 10115 → 10116

Parity: odd

Prime: No

Previous Prime: 10111

Next Prime: 10133

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 5 × 7 × 17 ²

Divisors: 1, 5, 7, 17, 35, 85, 119, 289, 595, 1445

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011110000011

Octal: 23603

Duodecimal: 5A2B

Hexadecimal: 2783

Square: 102313225

Square Root: 100.57335631269348

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) = floor(n*φ¹⁴), where φ is the golden ratio, A001622. A4929

Numerator of ∑_k=1..n 1/φ(k). A28415

Number of paraffins. A5997

Fourth column (m=3) of (1,6)-Pascal triangle A096956. A96957

a(n) = n²*(2·n+1). A99721

Numbers k such that k·6^k + 1 is prime. A242176

Numbers that are the sum of six fourth powers in four or more ways. A345561

Numbers that are the sum of six fourth powers in exactly four ways. A345816

a(n) = ∑_k=1..n T(n,k), array T as in A049790. A49791

a(n) = a(n-1) + a(n-2) + 3·a(n-3), with a(0) = 1, a(1) = 0, a(2) = 1. A103143