Properties of the Number 19105

Nineteen Thousand One Hundred Five

Basics

Value: 19104 → 19105 → 19106

Parity: odd

Prime: No

Previous Prime: 19087

Next Prime: 19121

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 3821

Divisors: 1, 5, 3821, 19105

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101010100001

Octal: 45241

Duodecimal: B081

Hexadecimal: 4aa1

Square: 365001025

Square Root: 138.2208377922808

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

Minimal exponents m such that the fractional part of (101/100)^m obtains a maximum (when starting with m=1). A153671

Numbers k such that the fractional part of (101/100)^k is greater than 1-(1/k). A153672

Number of distinct lines through the origin in 4-dimensional cube of side length n. A90026

Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) + m·f(n,k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = 2·k if k <= floor(n/2) otherwise 2*(n-k), and m = 3, read by rows. A157278

a(n) is the least integer k such that k/Fibonacci(n) > 2/3. A293546

Composite n such that φ(n) * σ(n) is one less than a square. A15709

Interpret the values of the Moebius function μ(k) for k = n to 1 as a balanced ternary number. A292779

a(n) is the integer k that minimizes |k/Fibonacci(n) - 2/3|. A293547

a(n) is the smallest number that belongs simultaneously to the two arithmetic progressions prime(n) + m·prime(n+1) and prime(n+1) + m·prime(n+2), m >= 1, n >= 1. A319524

Odd composite n such that φ(n) * σ(n) is one less than a square. A15722