Properties of the Number 53575

Fifty-Three Thousand Five Hundred Seventy-Five

Basics

Value: 53574 → 53575 → 53576

Parity: odd

Prime: No

Previous Prime: 53569

Next Prime: 53591

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 ² × 2143

Divisors: 1, 5, 25, 2143, 10715, 53575

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000101000111

Octal: 150507

Duodecimal: 27007

Hexadecimal: d147

Square: 2870280625

Square Root: 231.46273998205413

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 nXk 0..1 arrays with every element equal to 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302472

T(n,k)=Number of nXk 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X(k+1) binary array having determinant equal to one, with rows and columns of the latter in nondecreasing lexicographic order. A227641

Number of nX4 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X5 binary array having determinant equal to one, with rows and columns of the latter in nondecreasing lexicographic order. A227639

Number of nX4 0..1 arrays with every element equal to 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302468

Number of 6Xn 0..1 arrays with every element equal to 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302476

Odd part of φ(n): a(n) = A000265(A000010(n)). A53575