48
XLVIII
110000
The number 48 — factors and divisors
Abundant
48 = 2⁴ × 3. It has 10 divisors, adding up to 124.
Its divisors, itself excluded, add up to more than the number.
Laid out as dots
It fits as 6 × 8. The more divisors, the closer to a square.
- Prime factors
- 2⁴ × 3
- Divisors
- 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
- Sum of divisors
- 124
- Sum without itself
- 76
- Coprime below it
- 16
- Digit sum
- 12
- Digital root
- 3
- Roman numeral
- XLVIII
- Binary
- 110000
- Octal
- 60
- Hexadecimal
- 30
- Base 36
- 1C
- Bits
- 6 bits
- Collatz steps
- 11 steps · peaks at 48
- Prime before
- 47
- Prime after
- 53
The grid
Ten per row, twenty rows. The filled cells are primes — you can see the multiples of 2 and 5 drop out in columns.
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Numbers either side
How to read this
- The prime factors are what the number is made of. The count and sum of divisors both follow from them.
- Add the divisors, take the number away, and you get perfect, abundant or deficient.
- The length of the binary form is the bit count. 255 taking eight digits is what a byte is.
- Collatz: halve it if even, triple it and add one if odd. The count is how many moves reach 1.
Frequently asked questions
Q. Is 48 a prime number?
No. It breaks down into 2⁴ × 3.
Q. What are the divisors of 48?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48 — 10 divisors in all, adding up to 124.
Q. How is 48 written in binary?
110000, which is 6 bits. In hexadecimal it is 30.
Q. How many Collatz steps does 48 take?
It reaches 1 in 11, peaking at 48 on the way.