Properties of the Number 4057

Four Thousand Fifty-Seven

Basics

Value: 4056 → 4057 → 4058

Parity: odd

Prime: Yes

Previous Prime: 4051

Next Prime: 4073

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 4057

Divisors: 1, 4057

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111011001

Octal: 7731

Duodecimal: 2421

Hexadecimal: fd9

Square: 16459249

Square Root: 63.694583757176716

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

Primes that are the sum of 25 consecutive primes. A215991

Nonascending wiggly sums: number of sums adding to n in which terms alternately do not increase and do not decrease. A129853

Number of partitions of n with no part larger than n/2. Also partitions of n into n/2 or fewer parts. A110618

Primes with first digit 4. A45710

Smallest prime in Goldbach partition of A025018(n). A25019

T(n,k)=Number of 0..2 arrays of length n+2·k-1 with sum less than 2·k in any length 2k subsequence (=less than 50% duty cycle). A212729

Primes of the form 9x² + 6xy + 1849y². A244019

Lower prime of a pair of consecutive primes having a difference of 16. A31934

Numbers k such that 4·k! + 1 is prime. A76680

T(n,k)=Number of 0..k arrays x(0..n+1) of n+2 elements without any two consecutive increases or two consecutive decreases. A200838