Properties of the Number 53553

Fifty-Three Thousand Five Hundred Fifty-Three

Basics

Value: 53552 → 53553 → 53554

Parity: odd

Prime: No

Previous Prime: 53551

Next Prime: 53569

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 17851

Divisors: 1, 3, 17851, 53553

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000100110001

Octal: 150461

Duodecimal: 26BA9

Hexadecimal: d131

Square: 2867923809

Square Root: 231.41521125457592

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

T(n,k)=Number of 0..3 arrays of length n+2·k-1 with sum no more than 3·k in any length 2k subsequence (=50% duty cycle). A212471

T(n,k)=Number of length n+3 0..k arrays with no consecutive four elements summing to more than 2·k. A241964

Number of 4 X n binary arrays without the pattern 0 1 diagonally, vertically, antidiagonally or horizontally. A188555

Number of 0..3 arrays of length n+3 with sum no more than 6 in any length 4 subsequence (=50% duty cycle). A212465

Number of 0..3 arrays of length 2·n+5 with sum no more than 3·n in any length 2n subsequence (=50% duty cycle). A212477

Number of length 6+3 0..n arrays with no consecutive four elements summing to more than 2·n. A241969

Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 3,2,0. A37668

Inverse Euler transform of {1,0,1,0,0,0,...}. A320786

Extreme points of set of n X n symmetric substochastic matrices. A53553