8,808,764

2² × 73 × 97 × 311

Starting at 8,808,764, the Collatz iteration reaches 1 after 194 steps. The first transition is 4404382; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 73 × 97 × 311

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,838,368

Proper Divisor Sum 7,029,604

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #8808763 ← → #8808773

Radix Representation

Decimal	8808764
Binary	100001100110100100111100 (24 bits)
Octal	0o41464474
Hexadecimal	0x86693C

Divisor Catalog (24)

1 2 4 73 97 146 194 292 311 388 622 1,244 7,081 14,162 22,703 28,324 30,167 45,406 60,334 90,812 120,668 2,202,191 4,404,382 8,808,764

Collatz Trajectory (194 steps to reach 1)

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

8,808,764 4,404,382 2,202,191 6,606,574 3,303,287 9,909,862 4,954,931 14,864,794 7,432,397 22,297,192 11,148,596 5,574,298 2,787,149 8,361,448 4,180,724 2,090,362 1,045,181 3,135,544 1,567,772 783,886 391,943 1,175,830 587,915 1,763,746 881,873 2,645,620 1,322,810 661,405 1,984,216 992,108 496,054 248,027 744,082 372,041 1,116,124 558,062 279,031 837,094 418,547 1,255,642 627,821 1,883,464 941,732 470,866 235,433 706,300 353,150 176,575 529,726 264,863 794,590 397,295 1,191,886 595,943 1,787,830 893,915 2,681,746 1,340,873 4,022,620 2,011,310

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