Properties of the Number 19601

Nineteen Thousand Six Hundred One

Basics

Value: 19600 → 19601 → 19602

Parity: odd

Prime: No

Previous Prime: 19597

Next Prime: 19603

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 17 × 1153

Divisors: 1, 17, 1153, 19601

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110010010001

Octal: 46221

Duodecimal: B415

Hexadecimal: 4c91

Square: 384199201

Square Root: 140.00357138301865

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

Pell-Lucas numbers: numerators of continued fraction convergents to sqrt(2). A1333

a(0) = 1, a(1) = 3; for n > 1, a(n) = 6·a(n-1) - a(n-2). A1541

Expansion of (1+x)/(1-2·x-x²). A78057

Largest number k such that the greatest prime factor of k² - 1 is prime(n). A175607

Interleave denominators (A000129) and numerators (A001333) of convergents to sqrt(2). A2965

Coefficients in expansion of ∑_{n >= 1} xⁿ/(1-xⁿ)⁴. A59358

Numbers such that floor(a(n)² / 8) is again a square. A204514

Irregular triangle of numbers k such that prime(n) is the largest prime factor of k² - 1. A223701

Smallest b > 1 such that the first n primes p (i.e., A000040(1)-A000040(n)) all satisfy b^p-1 == 1 (mod p²), i.e., smallest base b larger than 1 such that any member of the set of first n primes is a base-b Wieferich prime. A256236

a(n) = cosh(2·n * arccosh(n)). A173129