Properties of the Number 57453

Fifty-Seven Thousand Four Hundred Fifty-Three

Basics

Value: 57452 → 57453 → 57454

Parity: odd

Prime: No

Previous Prime: 57427

Next Prime: 57457

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 1741

Divisors: 1, 3, 11, 33, 1741, 5223, 19151, 57453

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000001101101

Octal: 160155

Duodecimal: 292B9

Hexadecimal: e06d

Square: 3300847209

Square Root: 239.69355435639065

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 of integer partitions of n whose parts do not have choosable sets of strict integer partitions. A387137

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero. A316383

Number of partitions p of n such that m(p) < m(c(p)), where m = maximal multiplicity of parts, and c = conjugate. A240726

Antidiagonal sums of the array defined in A385623. A385624

Number of twin prime pairs <= product of first n primes. A882

A Fielder sequence. a(n) = a(n-1) + a(n-3) + a(n-4) + a(n-5), n >= 6. A1639

Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero. A316378

Number of nX7 0..1 arrays with every element unequal to 1, 2, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero. A316382

Prime recurrence: a(n+1) = a(n)-th prime, with a(1) = 9. A57453