9,965,340

2² × 3² × 5 × 7 × 11 × 719

Starting at 9,965,340, the Collatz iteration reaches 1 after 101 steps. The first transition is 4982670; the starting value is even with 144 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7 × 11 × 719

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 37,739,520

Proper Divisor Sum 27,774,180

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9965339 ← → #9965341

Radix Representation

Decimal	9965340
Binary	100110000000111100011100 (24 bits)
Octal	0o46007434
Hexadecimal	0x980F1C

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 719 770

Collatz Trajectory (101 steps to reach 1)

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

9,965,340 4,982,670 2,491,335 7,474,006 3,737,003 11,211,010 5,605,505 16,816,516 8,408,258 4,204,129 12,612,388 6,306,194 3,153,097 9,459,292 4,729,646 2,364,823 7,094,470 3,547,235 10,641,706 5,320,853 15,962,560 7,981,280 3,990,640 1,995,320 997,660 498,830 249,415 748,246 374,123 1,122,370 561,185 1,683,556 841,778 420,889 1,262,668 631,334 315,667 947,002 473,501 1,420,504 710,252 355,126 177,563 532,690 266,345 799,036 399,518 199,759 599,278 299,639 898,918 449,459 1,348,378 674,189 2,022,568 1,011,284 505,642 252,821 758,464 379,232

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