Numbers and Mysticism

SHEET 1

1. Find all the abundant numbers between 1 and 20: 12, 18, 20

2. Find all deficient numbers between 1 and 20: 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19

3. Find a perfect number between 20 and 30: 28

Show that 496 is a perfect number: 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248 = 496

4. Show that 1184 and 1210 are amicable numbers:
1184: 1 + 2 + 4 + 8 + 16 + 32 + 37 + 74 + 148 + 296 + 592 = 1210
1210: 1 + 2 + 5 + 10 + 11 + 22 + 55 + 110 + 121 + 242 + 605 = 1184

SHEET 2

1. The name Michael is Abundant. Total in Name = 78; Sum of Divisors (1, 2, 3, 6, 13, 26, 39) = 90

2. The name Kathryn is Deficient. Total in Name = 301; Sum of Divisors (1, 7, 43) = 51

3. The dance Cha Cha is Perfect. Total in Name = 28; Sum of Divisors (1, 2, 4, 7, 14) = 28

4. Your name is _______________________________________

5. The name John Handley is Deficient. Total in Name = 247; Sum of Divisors (1, 13, 19) = 33

6. The name Pleacher is Abundant. Total in Name = 208;
Sum of Divisors (1, 2, 4, 8, 13, 16, 26, 52, 104) = 226

SHEET 3

1. Fire and Water: Poor
Fire: total = 108, abundant
Water: total = 239 (prime), deficient

2. Peanut Butter and jelly Good
Peanut Butter: total = 453, sum of divisors = 346; deficient
Jelly: total = 175, sum of divisors = 73; deficient

3. The word President and the name GEORGE W. BUSH Poor
President: total = 354, sum of divisors = 366; abundant
George W. Bush: total = 331 (prime), deficient

4. Your name and your desired profession _______________________________