# 1233

## 1,233 is an odd composite number composed of two prime numbers multiplied together.

What does the number 1233 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 6 divisors.

1233 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of six divisors.

## Prime factorization of 1233:

### 32 × 137

(3 × 3 × 137)

See below for interesting mathematical facts about the number 1233 from the Numbermatics database.

### Names of 1233

• Cardinal: 1233 can be written as One thousand, two hundred thirty-three.

### Scientific notation

• Scientific notation: 1.233 × 103

### Factors of 1233

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 140

### Divisors of 1233

• Number of divisors d(n): 6
• Complete list of divisors:
• Sum of all divisors σ(n): 1794
• Sum of proper divisors (its aliquot sum) s(n): 561
• 1233 is a deficient number, because the sum of its proper divisors (561) is less than itself. Its deficiency is 672

### Bases of 1233

• Binary: 100110100012
• Base-36: Y9

### Squares and roots of 1233

• 1233 squared (12332) is 1520289
• 1233 cubed (12333) is 1874516337
• The square root of 1233 is 35.1140997321
• The cube root of 1233 is 10.7231165291

### Scales and comparisons

How big is 1233?
• 1,233 seconds is equal to 20 minutes, 33 seconds.
• To count from 1 to 1,233 would take you about twenty minutes.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 1233 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1233

• 1233 backwards is 3321
• 1233 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1233's digits is 9
• More coming soon!