Properties of the Number 1901

One Thousand Nine Hundred One

Basics

Value: 1900 → 1901 → 1902

Parity: odd

Prime: Yes

Previous Prime: 1889

Next Prime: 1907

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 1901

Divisors: 1, 1901

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101101101

Octal: 3555

Duodecimal: 1125

Hexadecimal: 76d

Square: 3613801

Square Root: 43.60045871318328

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

Primes p such that q = (p² + 1)/2 is also a prime. A48161

Primes that become another prime under the map 8 <-> 9 (acting on the decimal digits). A175789

Numbers n such that n, 2n+1, and 4n+3 all prime. A7700

Centered 10-gonal numbers. A62786

Primes p such that continued fraction of (1 + sqrt(p))/2 has period 3. A146348

Fourth spoke of a hexagonal spiral. A56108

Primes having only {0, 1, 9} as digits. A199329

Smallest of three consecutive primes with a difference of 6: primes p such that p+6 and p+12 are the next two primes. A47948

Number of integer partitions of n whose augmented differences are distinct. A325349

Concentric pentagonal numbers: floor( 5·n² / 4 ). A32527