Properties of the Number 54545

Fifty-Four Thousand Five Hundred Forty-Five

Basics

Value: 54544 → 54545 → 54546

Parity: odd

Prime: No

Previous Prime: 54541

Next Prime: 54547

Digit Sum: 23

Digital Root: 5

Palindrome: Yes

Factorization: 5 × 10909

Divisors: 1, 5, 10909, 54545

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010100010001

Octal: 152421

Duodecimal: 27695

Hexadecimal: d511

Square: 2975157025

Square Root: 233.54871012274933

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

Numbers k such that k*(k+5) gives the concatenation of two numbers m and m-4. A116261

E.g.f.: exp(x/(1 + x + x²)). A293571

Palindromes with consecutive digits that differ exactly by 1. A207954

a(n) = a(n-2) + 2·a(n-3) for n >= 3, where a(0) = 2, a(2) = 4, a(3) = 5. A288668

a(n) is the smallest positive integer which can be represented as the sum of n distinct nonzero tetrahedral numbers in exactly n ways, or -1 if no such integer exists. A360217

Palindromes of the form 4n + 1 that are divisible by 5. A256704

Triangle read by rows: Number of ideals in Partial Brauer Monoid PB_n. A276773

Number of labeled digraphs on n unisolated nodes (inverse binomial transform of A053763). A54545

Number of (n+2)X(3+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 3 or 4. A252083

Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 4 6 or 7. A252452