Numerosidad Number Atlas
The number 42, visualized
Forty-two has several exact mathematical structures: it is 6 × 7, a Catalan number, and the product of three distinct primes.
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Fixed-value symbol model for 42
four tens + two ones
Four triangle-shaped fixed-value symbols worth 10 each represent 40, and two circle-shaped fixed-value symbols worth 1 each represent 2.
This additive decimal model decomposes the number into repeated fixed-value symbols. Each symbol keeps its value wherever it appears, and repetitions add, so the complete pattern composes 42.
- four tens
- 40
- two ones
- 2
Number profile
Facts about 42
- Standard form
- 42
- Number name (word form)
- forty-two
- Expanded form
- 40 + 2
- Classification
- Even and composite
- Prime factorization
- 2 × 3 × 7
- Positive divisors (8)
- 1, 2, 3, 6, 7, 14, 21, 42
- Digits
- 2
- Digit sum
- 6
- Digital root
- 6
- Fixed-value symbols
- 6
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Why it stands out
Patterns inside 42
Forty-two supports a mathematics-only page with connections among number composition, rectangular arrays, prime factors, divisors, and a counting sequence.
Six rows of seven make 42
Because 42 = 6 × 7, forty-two objects form a 6-by-7 rectangle; equivalently, 2 + 4 + 6 + 8 + 10 + 12 = 42.
Its prime factorization is 2 × 3 × 7
The three distinct prime factors give 42 eight positive divisors: 1, 2, 3, 6, 7, 14, 21, and 42.
It is the sixth listed Catalan value
With indexing that begins C(0) = 1, the Catalan sequence starts 1, 1, 2, 5, 14, 42, so 42 is C(5).