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1026

Number 1026: Properties, Factors, and Mathematical Facts

Short answer

The number 1026 is an even composite number with 16 positive divisors. Its prime factorization is 2 × 3³ × 19. It is also an abundant number, which gives it several notable mathematical relationships.

Is 1026 prime?

ClassificationCompositeParityEvenDivisor count16AbundanceAbundant

What is the prime factorization of 1026?

Prime factorization

1026 =
2 times 3 cubed times 19
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What are the divisors of 1026?

Divisor count

16

Divisor sum

2,400

Proper divisor sum

1,374
  • 1
  • 2
  • 3
  • 6
  • 9
  • 18
  • 19
  • 27
  • 38
  • 54
  • 57
  • 114
  • 171
  • 342
  • 513
  • 1026

How is 1026 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No

How is 1026 represented in other numeral systems?

Decimal

1026

Binary

10000000010
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Octal

2002

Hexadecimal

Roman

In words

one thousand twenty six

Roots and powers

Square root

32.031235 Approximate

Cube root

10.085926 Approximate

Nearest lower square

1024

Nearest higher square

1089

Nearest lower cube

1000

Nearest higher cube

1331

What are the digit properties of 1026?

Digit count

4

Digit sum

Digit product

0

Digital root

9

Reversed number

6201

Why these results are true

  • 1026 is composite because it has positive divisors other than 1 and itself.
  • 1026 is abundant because the sum of its proper divisors (1374) is greater than 1026.

Compare this number

FAQ for 1026

Is 1026 prime?
No
What is the prime factorization of 1026?
2 × 3³ × 19
Is 1026 a perfect square?
No
What is 1026 in binary?
10000000010
What is 1026 in Roman numerals?
MXXVI

Read calculation methodology