8,452,688

2⁴ × 29 × 18217

Starting at 8,452,688, the Collatz iteration reaches 1 after 199 steps. The first transition is 4226344; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 29 × 18217

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 16,942,740

Proper Divisor Sum 8,490,052

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #8452681 ← → #8452693

Radix Representation

Decimal	8452688
Binary	100000001111101001010000 (24 bits)
Octal	0o40175120
Hexadecimal	0x80FA50

Divisor Catalog (20)

1 2 4 8 16 29 58 116 232 464 18,217 36,434 72,868 145,736 291,472 528,293 1,056,586 2,113,172 4,226,344 8,452,688

Collatz Trajectory (199 steps to reach 1)

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

8,452,688 4,226,344 2,113,172 1,056,586 528,293 1,584,880 792,440 396,220 198,110 99,055 297,166 148,583 445,750 222,875 668,626 334,313 1,002,940 501,470 250,735 752,206 376,103 1,128,310 564,155 1,692,466 846,233 2,538,700 1,269,350 634,675 1,904,026 952,013 2,856,040 1,428,020 714,010 357,005 1,071,016 535,508 267,754 133,877 401,632 200,816 100,408 50,204 25,102 12,551 37,654 18,827 56,482 28,241 84,724 42,362 21,181 63,544 31,772 15,886 7,943 23,830 11,915 35,746 17,873 53,620

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