8,132,568

2³ × 3 × 338857

Starting at 8,132,568, the Collatz iteration reaches 1 after 85 steps. The first transition is 4066284; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 338857

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 20,331,480

Proper Divisor Sum 12,198,912

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8132567 ← → #8132591

Radix Representation

Decimal	8132568
Binary	11111000001011111011000 (23 bits)
Octal	0o37013730
Hexadecimal	0x7C17D8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 338,857 677,714 1,016,571 1,355,428 2,033,142 2,710,856 4,066,284 8,132,568

Collatz Trajectory (85 steps to reach 1)

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

8,132,568 4,066,284 2,033,142 1,016,571 3,049,714 1,524,857 4,574,572 2,287,286 1,143,643 3,430,930 1,715,465 5,146,396 2,573,198 1,286,599 3,859,798 1,929,899 5,789,698 2,894,849 8,684,548 4,342,274 2,171,137 6,513,412 3,256,706 1,628,353 4,885,060 2,442,530 1,221,265 3,663,796 1,831,898 915,949 2,747,848 1,373,924 686,962 343,481 1,030,444 515,222 257,611 772,834 386,417 1,159,252 579,626 289,813 869,440 434,720 217,360 108,680 54,340 27,170 13,585 40,756 20,378 10,189 30,568 15,284 7,642 3,821 11,464 5,732 2,866 1,433

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