Properties of the Number 39701

Thirty-Nine Thousand Seven Hundred One

Basics

Value: 39700 → 39701 → 39702

Parity: odd

Prime: No

Previous Prime: 39679

Next Prime: 39703

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 29 × 37 ²

Divisors: 1, 29, 37, 1073, 1369, 39701

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001101100010101

Octal: 115425

Duodecimal: 1AB85

Hexadecimal: 9b15

Square: 1576169401

Square Root: 199.25109786397664

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

Total number of parts coprime to n in the partitions of n into 9 parts. A363327

a(n) = 29·n². A244635

Numbers k such that the continued fraction for sqrt(k) has period 79. A20418

Number of (n+2)X(1+2) nonnegative integer arrays with all values the knight distance from the upper left minus as much as 1, with successive minimum path knight move differences either 0 or +1, and any unreachable value zero. A253417

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 929", based on the 5-celled von Neumann neighborhood. A273781

Number of ways to build a contiguous building with n LEGO blocks of size 1 X 8 on top of a fixed block of the same size so that the building is flat, i.e., with all blocks in parallel position and symmetric after a rotation by 180 degrees. A123817

Number of n X n binary arrays with all ones connected only in a 11000-01110-00011 pattern in any orientation. A147185

Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 11000-01110-00011 pattern in any orientation. A147187

a(n) = n-th prime modulo 3. A39701

Square array A(n,k), read by descending antidiagonals, where A(1, k) = A388980(k), and for n > 1, A(n, k) = A003961(A(n-1), k). A388982