Numberwise

7408

The 7408 is a quad two-input AND gate.

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Where 7408 fits

Where 7408 fits: Mathematics, Related numbersMathematics: Happy number. Related numbers: 7432, 7400.MathematicsHappy numberRelated numbers743274007408
7408 connects to 2 worlds: mathematics, related numbers.

Why 7408 is special

In TTL it is built as a NAND followed by an inverter, so the supposedly simpler AND gate is internally the more complex part.

7408 is part of

Happy numbers

Factors & digit properties

Divisors (10)
1, 2, 4, 8, 16, 463, 926, 1852, 3704, 7408
Prime factorisation
2^4 × 463
Digit sum
19
Digital root
1

Representations

Decimal
7408
Scientific notation
7.408 × 10^3

Roman numerals

Roman numerals as modelled here goes up to 3,999.

Binary

1 1 1 0 0 1 1 1 1 0 0 0 0

1 × 4,096 + 1 × 2,048 + 1 × 1,024 + 0 × 512 + 0 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 1 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 7,408

Octal

1 6 3 6 0

1 × 4,096 + 6 × 512 + 3 × 64 + 6 × 8 + 0 × 1 = 7,408

Hexadecimal

1 c f 0

1 × 4,096 + c × 256 + f × 16 + 0 × 1 = 7,408

Read as powers of two: 4,096 + 2,048 + 1,024 + 128 + 64 + 32 + 16 = 7,408.

In historical numeral systems

Egyptian

7 lotuses, 4 coils of rope, 8 strokes

7 × 1,000 + 4 × 100 + 8 × 1 = 7,408. 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

Related numbers & connections

Documented appearance
The AND and OR quads complete the basic set a first digital electronics course works through.

The AND and OR quads complete the basic set a first digital electronics course works through.

View 7432 →
Connection
In TTL the AND gate is implemented as a NAND followed by an inverter, so the simpler function is the more complex part.

In TTL the AND gate is implemented as a NAND followed by an inverter, so the simpler function is the more complex part.

View 7400 →

Numbers Around Us

  • appears alongside7432
    why?

    Strength 0.50, confidence "high".

Other connections

  • developed from7400
    why?

    Strength 0.50, confidence "high".

How is 7408 connected to another number? →

Technology & computing

  • The 7408 contains four two-input AND gates. In transistor-transistor logic the natural primitive is NAND, so AND is implemented as NAND plus inversion.

    DocumentedTechnology & computingPeriod: 1964–

Common questions

Is 7408 a prime number?

No, 7408 is not prime.

What are the factors of 7408?

The factors of 7408 are 1, 2, 4, 8, 16, 463, 926, 1852, 3704, 7408.

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