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31000

Number 31000: Properties, Factors, and Mathematical Facts

Short answer

The number 31000 is an even composite number with 32 positive divisors. Its prime factorization is 2³ × 5³ × 31. It is also an abundant number, which gives it several notable mathematical relationships.

Is 31000 prime?

ClassificationCompositeParityEvenDivisor count32AbundanceAbundant

What is the prime factorization of 31000?

Prime factorization

31000 =
2 cubed times 5 cubed times 31
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What are the divisors of 31000?

Divisor count

32

Divisor sum

74,880

Proper divisor sum

43,880
  • 1
  • 2
  • 4
  • 5
  • 8
  • 10
  • 20
  • 25
  • 31
  • 40
  • 50
  • 62
  • 100
  • 124
  • 125
  • 155
  • 200
  • 248
  • 250
  • 310
  • 500
  • 620
  • 775
  • 1000

How is 31000 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No

How is 31000 represented in other numeral systems?

Decimal

31000

Binary

111100100011000
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Octal

74430

Hexadecimal

Roman

No conventional Roman numeral

In words

thirty one thousand

Roots and powers

Square root

176.068169 Approximate

Cube root

31.413807 Approximate

Nearest lower square

30976

Nearest higher square

31329

Nearest lower cube

29791

Nearest higher cube

32768

What are the digit properties of 31000?

Digit count

5

Digit sum

Digit product

0

Digital root

4

Reversed number

13

Why these results are true

  • 31000 is composite because it has positive divisors other than 1 and itself.
  • 31000 is abundant because the sum of its proper divisors (43880) is greater than 31000.

Compare this number

FAQ for 31000

Is 31000 prime?
No
What is the prime factorization of 31000?
2³ × 5³ × 31
Is 31000 a perfect square?
No
What is 31000 in binary?
111100100011000

Read calculation methodology