Properties of the Number 39891

Thirty-Nine Thousand Eight Hundred Ninety-One

Basics

Value: 39890 → 39891 → 39892

Parity: odd

Prime: No

Previous Prime: 39887

Next Prime: 39901

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 13297

Divisors: 1, 3, 13297, 39891

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001101111010011

Octal: 115723

Duodecimal: 1B103

Hexadecimal: 9bd3

Square: 1591291881

Square Root: 199.72731410600804

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 (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A257189

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any north or west neighbors modulo n and the upper left element equal to 0. A268115

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally and vertically. A254989

Numbers that are the sum of seven fourth powers in eight or more ways. A345574

Numbers that are the sum of seven fourth powers in nine or more ways. A345575

Numbers that are the sum of seven fourth powers in exactly nine ways. A345831

a(n) = 121·n² - 204·n + 86. A157440

Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally and vertically. A254982

Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally and vertically. A254985

Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A257185