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7400

The 7400 is a quad two-input NAND gate.

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Where 7400 fits

Where 7400 fits: Technology, Related numbersTechnology: Numbers assigned as identifiers. Related numbers: 7404, 7408, 74181.TechnologyNumbers assigned as identif…Related numbers74047408741817400
7400 connects to 2 worlds: technology, related numbers.

Why 7400 is special

NAND is functionally complete — every other logic gate can be built from it — so this one package could in principle implement any digital circuit.

Factors & digit properties

Divisors (24)
1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200, 296, 370, 740, 925, 1480, 1850, 3700, 7400
Prime factorisation
2^3 × 5^2 × 37
Digit sum
11
Digital root
2

Representations

Decimal
7400
Binary
1110011101000
Octal
16350
Hexadecimal
1ce8
Scientific notation
7.400 × 10^3

Other mathematical patterns

  • Abundant number

Related numbers & connections

Documented appearance
The 7400 part number named an entire logic family, so one identifier came to label thousands of devices.

The 7400 part number named an entire logic family, so one identifier came to label thousands of devices.

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 7408

Numbers Around Us

  • appears inNumbers assigned as identifiers
    why?

    Strength 0.50, confidence "high".

  • appears alongside7404
    why?

    Strength 0.50, confidence "high".

Other connections

  • developed from7408
    why?

    Strength 0.50, confidence "high".

  • is associated with74181
    why?

    Strength 0.50, confidence "high".

How is 7400 connected to another number? →

Technology & computing

  • The 7400 contains four two-input NAND gates and gave its number to the entire 7400 TTL logic family. NAND is functionally complete, so any Boolean function can be realised using it alone.

    DocumentedTechnology & computingPeriod: 1964–

Common questions

Is 7400 a prime number?

No, 7400 is not prime.

What are the factors of 7400?

The factors of 7400 are 1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200, 296, 370, 740, 925, 1480, 1850, 3700, 7400.

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

7400 — Mathematical Properties and Representations | Numberwise