9,675,540

2² × 3² × 5 × 7² × 1097

Starting at 9,675,540, the Collatz iteration reaches 1 after 132 steps. The first transition is 4837770; the starting value is even with 108 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7^2 × 1097

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 34,171,956

Proper Divisor Sum 24,496,416

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9675539 ← → #9675551

Radix Representation

Decimal	9675540
Binary	100100111010001100010100 (24 bits)
Octal	0o44721424
Hexadecimal	0x93A314

Divisor Catalog (60 of 108)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1,097 1,260 1,470 1,764 2,194 2,205 2,940 3,291 4,388 4,410 5,485 6,582 7,679

Collatz Trajectory (132 steps to reach 1)

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

9,675,540 4,837,770 2,418,885 7,256,656 3,628,328 1,814,164 907,082 453,541 1,360,624 680,312 340,156 170,078 85,039 255,118 127,559 382,678 191,339 574,018 287,009 861,028 430,514 215,257 645,772 322,886 161,443 484,330 242,165 726,496 363,248 181,624 90,812 45,406 22,703 68,110 34,055 102,166 51,083 153,250 76,625 229,876 114,938 57,469 172,408 86,204 43,102 21,551 64,654 32,327 96,982 48,491 145,474 72,737 218,212 109,106 54,553 163,660 81,830 40,915 122,746 61,373

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