Numberwise

576

576 bytes is the smallest datagram every IPv4 host must be able to reassemble.

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Where 576 fits

Where 576 fits: Mathematics, Related numbersMathematics: Perfect square, Powerful number, Harshad (Niven) number. Related numbers: 1280.MathematicsPerfect squarePowerful numberHarshad (Niven) numberRelated numbers1280576
576 connects to 2 worlds: mathematics, related numbers.

Why 576 is special

The figure sets a floor rather than a normal size: any IPv4 implementation must handle at least this much, so protocols that must work everywhere keep messages under it. It is why DNS responses were historically capped at 512 bytes.

576 is part of

Factors & digit properties

Divisors (21)
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Prime factorisation
2^6 × 3^2
Digit sum
18
Digital root
9

Representations

Decimal
576
Binary
1001000000
Octal
1100
Hexadecimal
240
Roman numeral
DLXXVI
Scientific notation
5.760 × 10^2

Other mathematical patterns

  • Abundant number
  • Powerful number
  • Harshad (Niven) number

Related numbers & connections

Connection
The minimum packet size every host must handle: 576 bytes in IPv4, raised to 1,280 in IPv6. IPv6 also removed in-transit fragmentation, which makes its floor matter more than IPv4's ever did.

The minimum packet size every host must handle: 576 bytes in IPv4, raised to 1,280 in IPv6. IPv6 also removed in-transit fragmentation, which makes its floor matter more than IPv4's ever did.

View 1280

Other connections

  • contrasts with1280
    why?

    Strength 0.50, confidence "high".

How is 576 connected to another number? →

Technology & computing

  • Every IPv4 host must be able to reassemble a datagram of at least 576 bytes. Protocols that need to work everywhere stay under it rather than near it, which is why classic DNS responses were capped at 512 bytes and why larger ones fall back to TCP.

    DocumentedTechnology & computing

Common questions

Is 576 a prime number?

No, 576 is not prime.

What are the factors of 576?

The factors of 576 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576.

What is 576 in Roman numerals?

576 in Roman numerals is DLXXVI.

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