Properties of the Number 55901

Fifty-Five Thousand Nine Hundred One

Basics

Value: 55900 → 55901 → 55902

Parity: odd

Prime: Yes

Previous Prime: 55897

Next Prime: 55903

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 55901

Divisors: 1, 55901

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101101001011101

Octal: 155135

Duodecimal: 28425

Hexadecimal: da5d

Square: 3124921801

Square Root: 236.4339231159522

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

Number T(n,k) of set partitions of [n], where k is minimal such that for all j in [n]: j is member of block b implies b = 1 or at least one of j-1, ..., j-k is member of a block >= b-1; triangle T(n,k), n >= 0, 0 <= k <= max(floor(n/2), n-2), read by rows. A287640

Primes of the form k² + k + 55661, with k >= 0. A116206

Primes p such that 11 is the largest of all prime factors of the numbers between p and the next prime (cf. A052248). A80187

Row sums of triangle A144334, binomial transform of [1, 2, 6, 7, 3, 0, 0, 0, ...]. A144335

A proximate-prime polynomial sequence generated by 2·n² - 2·n + 53089. A155557

a(0)=1, a(n+1) = (a(n)*6) XOR a(n). A182556

Fifth term of strong prime sextets: p(m-3)-p(m-4) > p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m). A54817

Column 5 of triangle A055898. A55901