Mathematically 96

Ninety Six (96)

1. It is a sixth star number.

2. It is the smallest number that can be written as the difference of 2 squares in 4 ways.
96 = 252 – 232 = 142 - 102 = 112 – 52 = 102 – 22

3. It can be expressed as the difference of factorials of two consecutive numbers.
96 = 5! – 4! = 120 – 24

4. It is the 7th number that stays same when written upside down.

5. It is the second smallest number with 6 prime factors.
96 = 3 x 2 x 2 x 2 x 2 x 2

6. It is a refactorable number. A number is called refactorable or tau number if it is divisible by the count of its divisors. 96 has 12 divisors – 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48 and 96. Such numbers were first studied by Curtis Cooper and Robert E Kennedy and later rediscovered by Simon Colton. The first 10 Tau numbers are- 1, 2, 8, 9, 12, 18, 24, 36, 40 and 56.

7. It is an octagonal number.

8. It is an abundant number.

9. It is a 33 gonal number.

10. The atomic number of Curium is 96.

Dr Rajesh Kumar Thakur
rkthakur1974@gmail.com