8,332,708

2² × 271 × 7687

Starting at 8,332,708, the Collatz iteration reaches 1 after 168 steps. The first transition is 4166354; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 271 × 7687

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,637,952

Proper Divisor Sum 6,305,244

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8332699 ← → #8332729

Radix Representation

Decimal	8332708
Binary	11111110010010110100100 (23 bits)
Octal	0o37622644
Hexadecimal	0x7F25A4

Divisor Catalog (12)

1 2 4 271 542 1,084 7,687 15,374 30,748 2,083,177 4,166,354 8,332,708

Collatz Trajectory (168 steps to reach 1)

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

8,332,708 4,166,354 2,083,177 6,249,532 3,124,766 1,562,383 4,687,150 2,343,575 7,030,726 3,515,363 10,546,090 5,273,045 15,819,136 7,909,568 3,954,784 1,977,392 988,696 494,348 247,174 123,587 370,762 185,381 556,144 278,072 139,036 69,518 34,759 104,278 52,139 156,418 78,209 234,628 117,314 58,657 175,972 87,986 43,993 131,980 65,990 32,995 98,986 49,493 148,480 74,240 37,120 18,560 9,280 4,640 2,320 1,160 580 290 145 436 218 109 328 164 82 41

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