Properties of the Number 4801

Four Thousand Eight Hundred One

Basics

Value: 4800 → 4801 → 4802

Parity: odd

Prime: Yes

Previous Prime: 4799

Next Prime: 4813

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 4801

Divisors: 1, 4801

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001011000001

Octal: 11301

Duodecimal: 2941

Hexadecimal: 12c1

Square: 23049601

Square Root: 69.28924880528002

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: Yes

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) = 2·n² - 1. A56220

Primes with 7 as smallest primitive root. A1126

a(n) = 10·a(n-1) - a(n-2); a(0) = 1, a(1) = 5. A1079

Primes of the form 2·n² - 1. A66436

Third spoke of a hexagonal spiral. A56107

Centered 16-gonal numbers. A69129

Primes that do not contain any other prime as a proper substring. A33274

a(n) = cos(2·n*arcsin(sqrt(3))) = (-1)ⁿ*cosh(2·n*arcsinh(sqrt(2))). A146311

Prime numbers congruent to 1 modulo 16 representable by both x² + 32·y² and x² + 64·y². A325067

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