8,759,301

3 × 17² × 10103

Starting at 8,759,301, the Collatz iteration reaches 1 after 181 steps. The first transition is 26277904; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 17^2 × 10103

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,407,712

Proper Divisor Sum 3,648,411

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8759299 ← → #8759327

Radix Representation

Decimal	8759301
Binary	100001011010100000000101 (24 bits)
Octal	0o41324005
Hexadecimal	0x85A805

Divisor Catalog (12)

1 3 17 51 289 867 10,103 30,309 171,751 515,253 2,919,767 8,759,301

Collatz Trajectory (181 steps to reach 1)

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

8,759,301 26,277,904 13,138,952 6,569,476 3,284,738 1,642,369 4,927,108 2,463,554 1,231,777 3,695,332 1,847,666 923,833 2,771,500 1,385,750 692,875 2,078,626 1,039,313 3,117,940 1,558,970 779,485 2,338,456 1,169,228 584,614 292,307 876,922 438,461 1,315,384 657,692 328,846 164,423 493,270 246,635 739,906 369,953 1,109,860 554,930 277,465 832,396 416,198 208,099 624,298 312,149 936,448 468,224 234,112 117,056 58,528 29,264 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546

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