148
CXLVIII
10010100
The number 148 — factors and divisors
Deficient
148 = 2² × 37. It has 6 divisors, adding up to 266.
Its divisors, itself excluded, add up to less than the number.
Laid out as dots
It fits as 4 × 37. The more divisors, the closer to a square.
- Prime factors
- 2² × 37
- Divisors
- 1, 2, 4, 37, 74, 148
- Sum of divisors
- 266
- Sum without itself
- 118
- Coprime below it
- 72
- Digit sum
- 13
- Digital root
- 4
- Roman numeral
- CXLVIII
- Binary
- 10010100
- Octal
- 224
- Hexadecimal
- 94
- Base 36
- 44
- Bits
- 8 bits
- Collatz steps
- 23 steps · peaks at 148
- Prime before
- 139
- Prime after
- 149
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 148 a prime number?
No. It breaks down into 2² × 37.
Q. What are the divisors of 148?
1, 2, 4, 37, 74, 148 — 6 divisors in all, adding up to 266.
Q. How is 148 written in binary?
10010100, which is 8 bits. In hexadecimal it is 94.
Q. How many Collatz steps does 148 take?
It reaches 1 in 23, peaking at 148 on the way.