7810
ISO/IEC 7810 fixes the size of bank cards and ID cards.
- Even
- Composite
Where 7810 fits
Why 7810 is special
The familiar 85.60 by 53.98 mm card is ID-1 from this standard, and it is why every wallet, card reader and slot in the world interoperates. SIM cards come from the same standard's smaller formats.
Factors & digit properties
- Divisors (16)
- 1, 2, 5, 10, 11, 22, 55, 71, 110, 142, 355, 710, 781, 1562, 3905, 7810
- Prime factorisation
- 2 × 5 × 11 × 71
- Digit sum
- 16
- Digital root
- 7
Representations
- Decimal
- 7810
- Scientific notation
- 7.810 × 10^3
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 1 1 1 0 1 0 0 0 0 0 1 0
1 × 4,096 + 1 × 2,048 + 1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 1 × 2 + 0 × 1 = 7,810
Octal
1 7 2 0 2
1 × 4,096 + 7 × 512 + 2 × 64 + 0 × 8 + 2 × 1 = 7,810
Hexadecimal
1 e 8 2
1 × 4,096 + e × 256 + 8 × 16 + 2 × 1 = 7,810
Read as powers of two: 4,096 + 2,048 + 1,024 + 512 + 128 + 2 = 7,810.
In historical numeral systems
Egyptian
7 lotuses, 8 coils of rope, 1 hobble
7 × 1,000 + 8 × 100 + 1 × 10 = 7,810. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.
Other mathematical patterns
- Deficient number
Related numbers & connections
ISO/IEC 7810 fixes bank card dimensions and is cited by number wherever card compatibility is specified.
ISO 7810 fixes a card's physical size and 7816 its contact pad and signalling. Together they are why any card works in any reader.
View 7816 →Numbers Around Us
- appears inNumbers assigned as identifiers
why?
Strength 0.50, confidence "high".
- appears inStandards issued by an organisation
why?
Strength 0.50, confidence "high".
Technology & computing
One standard size, ID-1, governs bank cards, driving licences and identity cards worldwide. Universal physical interoperability of this kind is rare and is the reason a card issued anywhere fits a reader anywhere.
DocumentedTechnology & computing
Common questions
Is 7810 a prime number?
No, 7810 is not prime.
What are the factors of 7810?
The factors of 7810 are 1, 2, 5, 10, 11, 22, 55, 71, 110, 142, 355, 710, 781, 1562, 3905, 7810.
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: 15 July 2026