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Properties of the Number 39873

Thirty-Nine Thousand Eight Hundred Seventy-Three

Basics

Value: 39872 → 39873 → 39874

Parity: odd

Prime: No

Previous Prime: 39869

Next Prime: 39877

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 13291

Divisors: 1, 3, 13291, 39873

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001101111000001

Octal: 115701

Duodecimal: 1B0A9

Hexadecimal: 9bc1

Square: 1589856129

Square Root: 199.68224758350453

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 proper divisors of n-th even perfect number. A133033
T(n,k)=Number of nXk 0..1 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..1 order. A222509
Total number of modes in all partitions of n. A372542
Number of 4Xn 0..1 arrays with exactly floor(4Xn/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..1 order. A222512
Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 1100-0100-1111 pattern in any orientation. A146653
Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 01000-11111-01000 pattern in any orientation. A147021
Number of n X n binary arrays with all ones connected only in a 1000-1000-1100-0111 pattern in any orientation. A147099
Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 1000-1000-1100-0111 pattern in any orientation. A147101
Number of partitions satisfying cn(2,5) < cn(0,5) + cn(1,5) + cn(4,5) and cn(3,5) < cn(0,5) + cn(1,5) + cn(4,5). A39873