Numberwise

284

284 is the partner of 220 in the smallest amicable pair.

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Where 284 fits

Where 284 fits: Related numbersRelated numbers: 220.Related numbers220284
284 connects to 1 world: related numbers.

Why 284 is special

Its proper divisors sum to 220, whose divisors sum back to 284. No further pair was found for over a thousand years after these two, until Fermat and Descartes each produced one in the seventeenth century.

Factors & digit properties

Divisors (6)
1, 2, 4, 71, 142, 284
Prime factorisation
2^2 × 71
Digit sum
14
Digital root
5

Representations

Decimal
284
Binary
100011100
Octal
434
Hexadecimal
11c
Roman numeral
CCLXXXIV
Scientific notation
2.840 × 10^2

Other mathematical patterns

  • Deficient number

Related numbers & connections

Shared classification
The smallest amicable pair: each number's proper divisors sum to the other. Known to the Pythagoreans and unmatched by any second pair for over a thousand years.

The smallest amicable pair: each number's proper divisors sum to the other. Known to the Pythagoreans and unmatched by any second pair for over a thousand years.

View 220

Shares a distinctive class

  • is associated with220
    why?

    Strength 0.50, confidence "high".

How is 284 connected to another number? →

Mathematics

  • 284's divisors sum to 220, completing the pair. No further amicable pair was found for more than a thousand years after these two were known, until Fermat and Descartes each produced one in the seventeenth century.

    DocumentedMathematics

Common questions

Is 284 a prime number?

No, 284 is not prime.

What are the factors of 284?

The factors of 284 are 1, 2, 4, 71, 142, 284.

What is 284 in Roman numerals?

284 in Roman numerals is CCLXXXIV.

About this page's data

Mathematical facts:computed directly from the number's value — nothing to source or verify externally.

Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.

Last reviewed: 3 August 2026