Number reference
103 explained.
103: one hundred three, prime; factors, prime factorization, roots, binary, hexadecimal, and digit properties.
Identity and representations
- Written form
- one hundred three
- Classification
- prime
- Factors
- 1, 103
- Prime factorization
- 103
- Square root
- 10.148892
- Cube root
- 4.687548
- Binary
- 1100111
- Octal
- 147
- Hexadecimal
- 67
- Roman numeral
- CIII
- Digit sum
- 4
- Digital root
- 4
What makes 103 notable
- Prime. 103 is prime: it has exactly two divisors, 1 and itself, so it cannot be split into equal whole-number groups any other way.
103 in everyday use
One hundred three is the atomic number of lawrencium, the synthetic element that closes the actinide series of the periodic table. It was first produced at the University of California, Berkeley, in 1961 and named after Ernest Lawrence, inventor of the cyclotron. Only a few atoms at a time have ever been made, so its chemistry is known mostly from painstaking experiments on short-lived samples. Beyond the laboratory, 103 is a common FM radio frequency band position and a routine bus and route number, with no other strong cultural association.
As a number, 103 is prime and forms a twin-prime pair with 101, the two being separated only by the even number 102. It is the smallest three-digit prime whose digit reversal is composite: 301 factors as 7 × 43, whereas 101 reversed is still 101. Adding its digits gives 4, and squaring and adding the digits repeatedly leads to 1, so 103 is also what mathematicians call a happy number.
Nearby numbers
How to read this page
Because 103 is prime, the factor list stops at 1 and 103 itself, so it cannot be shared into equal whole-number groups. That is also what makes it useful as a building block: every larger number with 103 in its prime factorisation inherits it from here.
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