Skip to content
العربية

4736

Number 4736: Properties, Factors, and Mathematical Facts

Short answer

The number 4736 is an even composite number with 16 positive divisors. Its prime factorization is 2⁷ × 37. It is also an abundant number, which gives it several notable mathematical relationships.

Is 4736 prime?

ClassificationCompositeParityEvenDivisor count16AbundanceAbundant

What is the prime factorization of 4736?

Prime factorization

4736 =
2 to the power of 7 times 37
Learn more

What are the divisors of 4736?

Divisor count

16

Divisor sum

9,690

Proper divisor sum

4,954
  • 1
  • 2
  • 4
  • 8
  • 16
  • 32
  • 37
  • 64
  • 74
  • 128
  • 148
  • 296
  • 592
  • 1184
  • 2368
  • 4736

How is 4736 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No

How is 4736 represented in other numeral systems?

Decimal

4736

Binary

1001010000000
Learn more

Octal

11200

Hexadecimal

Roman

No conventional Roman numeral

In words

four thousand seven hundred thirty six

Roots and powers

Square root

68.818602 Approximate

Cube root

16.793346 Approximate

Nearest lower square

4624

Nearest higher square

4761

Nearest lower cube

4096

Nearest higher cube

4913

What are the digit properties of 4736?

Digit count

4

Digit sum

Digit product

504

Digital root

2

Reversed number

6374

Why these results are true

  • 4736 is composite because it has positive divisors other than 1 and itself.
  • 4736 is abundant because the sum of its proper divisors (4954) is greater than 4736.

Compare this number

FAQ for 4736

Is 4736 prime?
No
What is the prime factorization of 4736?
2⁷ × 37
Is 4736 a perfect square?
No
What is 4736 in binary?
1001010000000

Read calculation methodology