9,672,668

2² × 733 × 3299

9,672,668 factors as 2^2 × 733 × 3299. Its 12 positive divisors give a proper-divisor sum of 7,282,732, so this integer is deficient. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^2 × 733 × 3299

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,955,400

Proper Divisor Sum 7,282,732

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #9672661 ← → #9672683

Radix Representation

Decimal	9672668
Binary	100100111001011111011100 (24 bits)
Octal	0o44713734
Hexadecimal	0x9397DC

Divisor Catalog (12)

1 2 4 733 1,466 2,932 3,299 6,598 13,196 2,418,167 4,836,334 9,672,668

Collatz Trajectory (70 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,672,668 4,836,334 2,418,167 7,254,502 3,627,251 10,881,754 5,440,877 16,322,632 8,161,316 4,080,658 2,040,329 6,120,988 3,060,494 1,530,247 4,590,742 2,295,371 6,886,114 3,443,057 10,329,172 5,164,586 2,582,293 7,746,880 3,873,440 1,936,720 968,360 484,180 242,090 121,045 363,136 181,568 90,784 45,392 22,696 11,348 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52

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