6,097,707

3³ × 7² × 11 × 419

Starting at 6,097,707, the Collatz iteration reaches 1 after 240 steps. The first transition is 18293122; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 7^2 × 11 × 419

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,491,200

Proper Divisor Sum 5,393,493

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6097699 ← → #6097717

Radix Representation

Decimal	6097707
Binary	10111010000101100101011 (23 bits)
Octal	0o27205453
Hexadecimal	0x5D0B2B

Divisor Catalog (48)

1 3 7 9 11 21 27 33 49 63 77 99 147 189 231 297 419 441 539 693 1,257 1,323 1,617 2,079 2,933 3,771 4,609 4,851 8,799 11,313 13,827 14,553 20,531 26,397 32,263 41,481 61,593 79,191 96,789 124,443 184,779 225,841 290,367 554,337 677,523 871,101 2,032,569 6,097,707

Collatz Trajectory (240 steps to reach 1)

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

6,097,707 18,293,122 9,146,561 27,439,684 13,719,842 6,859,921 20,579,764 10,289,882 5,144,941 15,434,824 7,717,412 3,858,706 1,929,353 5,788,060 2,894,030 1,447,015 4,341,046 2,170,523 6,511,570 3,255,785 9,767,356 4,883,678 2,441,839 7,325,518 3,662,759 10,988,278 5,494,139 16,482,418 8,241,209 24,723,628 12,361,814 6,180,907 18,542,722 9,271,361 27,814,084 13,907,042 6,953,521 20,860,564 10,430,282 5,215,141 15,645,424 7,822,712 3,911,356 1,955,678 977,839 2,933,518 1,466,759 4,400,278 2,200,139 6,600,418 3,300,209 9,900,628 4,950,314 2,475,157 7,425,472 3,712,736 1,856,368 928,184 464,092 232,046

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