Properties of the Number 3001

Three Thousand One

Basics

Value: 3000 → 3001 → 3002

Parity: odd

Prime: Yes

Previous Prime: 2999

Next Prime: 3011

Digit Sum: 4

Digital Root: 4

Palindrome: No

Factorization: 3001

Divisors: 1, 3001

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101110111001

Octal: 5671

Duodecimal: 18A1

Hexadecimal: bb9

Square: 9006001

Square Root: 54.78138369920935

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

Primes whose decimal representation is a valid number in base 4 and interpreted as such is again a prime. A90707

Dispersion of the primes (an array read by downward antidiagonals). A114537

Primes whose base-3 representation also is the base-2 representation of a prime. A235265

Number of points of norm <= n² in square lattice. A328

Primes with indices that are primes with prime indices. A38580

Centered 10-gonal numbers. A62786

Numbers whose sum of digits is 4. A52218

Primes of the form x² + 45y². A107152

Number of simple perfect squared squares of order n up to symmetry. A6983

Primes whose sum of digits is 4. A62339