6,864,351

3 × 13 × 37 × 67 × 71

Starting at 6,864,351, the Collatz iteration reaches 1 after 116 steps. The first transition is 20593054; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 37 × 67 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,418,688

Proper Divisor Sum 3,554,337

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6864331 ← → #6864383

Radix Representation

Decimal	6864351
Binary	11010001011110111011111 (23 bits)
Octal	0o32136737
Hexadecimal	0x68BDDF

Divisor Catalog (32)

1 3 13 37 39 67 71 111 201 213 481 871 923 1,443 2,479 2,613 2,627 2,769 4,757 7,437 7,881 14,271 32,227 34,151 61,841 96,681 102,453 176,009 185,523 528,027 2,288,117 6,864,351

Collatz Trajectory (116 steps to reach 1)

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

6,864,351 20,593,054 10,296,527 30,889,582 15,444,791 46,334,374 23,167,187 69,501,562 34,750,781 104,252,344 52,126,172 26,063,086 13,031,543 39,094,630 19,547,315 58,641,946 29,320,973 87,962,920 43,981,460 21,990,730 10,995,365 32,986,096 16,493,048 8,246,524 4,123,262 2,061,631 6,184,894 3,092,447 9,277,342 4,638,671 13,916,014 6,958,007 20,874,022 10,437,011 31,311,034 15,655,517 46,966,552 23,483,276 11,741,638 5,870,819 17,612,458 8,806,229 26,418,688 13,209,344 6,604,672 3,302,336 1,651,168 825,584 412,792 206,396 103,198 51,599 154,798 77,399 232,198 116,099 348,298 174,149 522,448 261,224

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