6,683,328

2⁶ × 3² × 41 × 283

Starting at 6,683,328, the Collatz iteration reaches 1 after 209 steps. The first transition is 3341664; the starting value is even with 84 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3^2 × 41 × 283

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 19,693,128

Proper Divisor Sum 13,009,800

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6683293 ← → #6683351

Radix Representation

Decimal	6683328
Binary	11001011111101011000000 (23 bits)
Octal	0o31375300
Hexadecimal	0x65FAC0

Divisor Catalog (60 of 84)

1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 283 288 328 369 492 566 576 656 738 849 984 1,132 1,312 1,476 1,698 1,968 2,264 2,547 2,624 2,952 3,396 3,936 4,528 5,094 5,904 6,792 7,872 9,056 10,188 11,603 11,808 13,584 18,112 20,376 23,206 23,616

Collatz Trajectory (209 steps to reach 1)

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

6,683,328 3,341,664 1,670,832 835,416 417,708 208,854 104,427 313,282 156,641 469,924 234,962 117,481 352,444 176,222 88,111 264,334 132,167 396,502 198,251 594,754 297,377 892,132 446,066 223,033 669,100 334,550 167,275 501,826 250,913 752,740 376,370 188,185 564,556 282,278 141,139 423,418 211,709 635,128 317,564 158,782 79,391 238,174 119,087 357,262 178,631 535,894 267,947 803,842 401,921 1,205,764 602,882 301,441 904,324 452,162 226,081 678,244 339,122 169,561 508,684 254,342

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