9,752,330

2 × 5 × 7 × 127 × 1097

Starting at 9,752,330, the Collatz iteration reaches 1 after 207 steps. The first transition is 4876165; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 127 × 1097

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 20,238,336

Proper Divisor Sum 10,486,006

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9752317 ← → #9752333

Radix Representation

Decimal	9752330
Binary	100101001100111100001010 (24 bits)
Octal	0o45147412
Hexadecimal	0x94CF0A

Divisor Catalog (32)

1 2 5 7 10 14 35 70 127 254 635 889 1,097 1,270 1,778 2,194 4,445 5,485 7,679 8,890 10,970 15,358 38,395 76,790 139,319 278,638 696,595 975,233 1,393,190 1,950,466 4,876,165 9,752,330

Collatz Trajectory (207 steps to reach 1)

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

9,752,330 4,876,165 14,628,496 7,314,248 3,657,124 1,828,562 914,281 2,742,844 1,371,422 685,711 2,057,134 1,028,567 3,085,702 1,542,851 4,628,554 2,314,277 6,942,832 3,471,416 1,735,708 867,854 433,927 1,301,782 650,891 1,952,674 976,337 2,929,012 1,464,506 732,253 2,196,760 1,098,380 549,190 274,595 823,786 411,893 1,235,680 617,840 308,920 154,460 77,230 38,615 115,846 57,923 173,770 86,885 260,656 130,328 65,164 32,582 16,291 48,874 24,437 73,312 36,656 18,328 9,164 4,582 2,291 6,874 3,437 10,312

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