Properties of the Number 10057

Ten Thousand Fifty-Seven

Basics

Value: 10056 → 10057 → 10058

Parity: odd

Prime: No

Previous Prime: 10039

Next Prime: 10061

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 89 × 113

Divisors: 1, 89, 113, 10057

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011101001001

Octal: 23511

Duodecimal: 59A1

Hexadecimal: 2749

Square: 101143249

Square Root: 100.2845950283492

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 subsets of {1..n} containing all of their integer quotients. A326023

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically. A207785

T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 000 and 101 in rows and columns. A203091

Semiprimes whose prime factors are of equal binary length and which differ from each other in exactly two bit positions. A261074

Squarefree numbers (A005117) of form prime(k)*q where q = primes of the form prime(k) + k. A232170

Number of partitions of n whose least part is a multiple of 3. A363094

Product of exactly two distinct primes congruent to 1 mod 8 (A007519). A185377

Number of (n+2) X 3 binary arrays avoiding patterns 000 and 101 in rows and columns. A203084

Number of partitions of n+5 with largest inscribed rectangle having area <= n. A218626

Squarefree numbers (A005117) with prime factors in a prime(k) + k progression. A232169