Properties of the Number 9901

Nine Thousand Nine Hundred One

Basics

Value: 9900 → 9901 → 9902

Parity: odd

Prime: Yes

Previous Prime: 9887

Next Prime: 9907

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 9901

Divisors: 1, 9901

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011010101101

Octal: 23255

Duodecimal: 5891

Hexadecimal: 26ad

Square: 98029801

Square Root: 99.50376877284599

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 of the form 1 + n + n² + n³ + ... + n^k, n > 1, k > 1. A85104

Primes of form k² + k + 1. A2383

Centered 10-gonal numbers. A62786

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

Smallest primitive factor of 10ⁿ - 1. Also smallest prime p such that 1/p has repeating decimal expansion of period n. A7138

Largest prime factor of the "repunit" number 11...1 (cf. A002275). A3020

Prime 3 followed by unique period primes (the period r of 1/p is not shared with any other prime) of the form A019328(r)/gcd(A019328(r),r) in order (periods r are given in A051627). A40017

Triangle of prime numbers in which n-th row lists all primes p such that 1/p has decimal period n, n >= 1. A46107

Primes of the form 5k² + 5k + 1. A90562

Irregular triangle read by rows in which row n lists prime factors (with multiplicity) of the repunit (10ⁿ - 1)/9 (A002275(n)). A102380