3,537,240

2³ × 3 × 5 × 7 × 4211

Starting at 3,537,240, the Collatz iteration reaches 1 after 128 steps. The first transition is 1768620; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7 × 4211

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 12,130,560

Proper Divisor Sum 8,593,320

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3537199 ← → #3537269

Radix Representation

Decimal	3537240
Binary	1101011111100101011000 (22 bits)
Octal	0o15374530
Hexadecimal	0x35F958

Divisor Catalog (60 of 64)

1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 4,211 8,422 12,633 16,844 21,055 25,266 29,477 33,688 42,110 50,532 58,954 63,165 84,220 88,431 101,064 117,908 126,330 147,385 168,440 176,862 235,816 252,660 294,770 353,724 442,155 505,320 589,540 707,448

Collatz Trajectory (128 steps to reach 1)

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

3,537,240 1,768,620 884,310 442,155 1,326,466 663,233 1,989,700 994,850 497,425 1,492,276 746,138 373,069 1,119,208 559,604 279,802 139,901 419,704 209,852 104,926 52,463 157,390 78,695 236,086 118,043 354,130 177,065 531,196 265,598 132,799 398,398 199,199 597,598 298,799 896,398 448,199 1,344,598 672,299 2,016,898 1,008,449 3,025,348 1,512,674 756,337 2,269,012 1,134,506 567,253 1,701,760 850,880 425,440 212,720 106,360 53,180 26,590 13,295 39,886 19,943 59,830 29,915 89,746 44,873 134,620

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