Properties of the Number 18135

Eighteen Thousand One Hundred Thirty-Five

Basics

Value: 18134 → 18135 → 18136

Parity: odd

Prime: No

Previous Prime: 18133

Next Prime: 18143

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 13 × 31

Divisors: 1, 3, 5, 9, 13, 15, 31, 39, 45, 65

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100011011010111

Octal: 43327

Duodecimal: A5B3

Hexadecimal: 46d7

Square: 328878225

Square Root: 134.66625412478064

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) = ∑_d∣n d³*A000593(n/d). A288419

Largest member of the n-th row of the triangular triangle (A093445). A93446

Odd nonsquarefree numbers k such that {sum of unitary divisors of k} plus {sum of squarefree divisors of k} >= 2·k. A389079

Numbers k such that (1/k) * ∑_d∣k d*σ(d) is an integer. A69520

Odd numbers m for which A379113(m²) > 1, i.e., k = m² has a proper unitary divisor d > 1 such that A048720(A065621(σ(d)),σ(k/d)) is equal to σ(k). A379122

Numbers k that divide the (left) concatenation of all numbers <= k written in base 19 (most significant digit on left). A29488

Numerators of continued fraction convergents to sqrt(377). A41714

Diagonal sums of triangle A185384. A208481

Least m>0 for which m·n² + 1 is a square and m·triangular(n) + 1 is a triangular number (A000217). Or -1 if no such m exists. A267077

Numbers m such that the numerator of ∑_{k=1..m, gcd(k,m) = 1} 1/k is divisible by m³. A290815