Properties of the Number 13857

Thirteen Thousand Eight Hundred Fifty-Seven

Basics

Value: 13856 → 13857 → 13858

Parity: odd

Prime: No

Previous Prime: 13841

Next Prime: 13859

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 31 × 149

Divisors: 1, 3, 31, 93, 149, 447, 4619, 13857

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11011000100001

Octal: 33041

Duodecimal: 8029

Hexadecimal: 3621

Square: 192016449

Square Root: 117.71575935277315

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

Least positive integer m with prime(m)+2 and prime(prime(m))+2 both prime such that prime(m·n)+2 and prime(prime(m·n))+2 are both prime. A259487

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 2 and no antidiagonal sum 2 and no row sum 0 and no column sum 0. A255792

Odd numbers which take a record number of steps to reach {1, 9, or 33} under iteration of the map described in the comments section of A135730. A261674

Lengths of runs of identical terms in A353710. A353718

Crystal ball sequence for diamond. A7904

a(1)=1, a(n) = a(n-1) + n³ if n odd, a(n) = a(n-1) + n² if n is even. A140154

a(n) = n*(14·n + 13). A195028

Sum of squares of alternating factorials : n!² - (n-1)!² + (n-2)!² - ... 1!². A92170

Numbers k such that R(d) * 2^k + 1 is prime, where R() = A002275 and d is the number of decimal digits of 2^k. A95306

Number of binary strings of length n with no substrings equal to 0101, 0110, or 1001. A164508