8,800,166

2 × 29 × 71 × 2137

Starting at 8,800,166, the Collatz iteration reaches 1 after 212 steps. The first transition is 4400083; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 29 × 71 × 2137

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,854,240

Proper Divisor Sum 5,054,074

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8800159 ← → #8800201

Radix Representation

Decimal	8800166
Binary	100001100100011110100110 (24 bits)
Octal	0o41443646
Hexadecimal	0x8647A6

Divisor Catalog (16)

1 2 29 58 71 142 2,059 2,137 4,118 4,274 61,973 123,946 151,727 303,454 4,400,083 8,800,166

Collatz Trajectory (212 steps to reach 1)

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

8,800,166 4,400,083 13,200,250 6,600,125 19,800,376 9,900,188 4,950,094 2,475,047 7,425,142 3,712,571 11,137,714 5,568,857 16,706,572 8,353,286 4,176,643 12,529,930 6,264,965 18,794,896 9,397,448 4,698,724 2,349,362 1,174,681 3,524,044 1,762,022 881,011 2,643,034 1,321,517 3,964,552 1,982,276 991,138 495,569 1,486,708 743,354 371,677 1,115,032 557,516 278,758 139,379 418,138 209,069 627,208 313,604 156,802 78,401 235,204 117,602 58,801 176,404 88,202 44,101 132,304 66,152 33,076 16,538 8,269 24,808 12,404 6,202 3,101 9,304

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