6,750,735

3 × 5 × 421 × 1069

Starting at 6,750,735, the Collatz iteration reaches 1 after 253 steps. The first transition is 20252206; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 421 × 1069

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,836,960

Proper Divisor Sum 4,086,225

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6750727 ← → #6750781

Radix Representation

Decimal	6750735
Binary	11001110000001000001111 (23 bits)
Octal	0o31601017
Hexadecimal	0x67020F

Divisor Catalog (16)

1 3 5 15 421 1,069 1,263 2,105 3,207 5,345 6,315 16,035 450,049 1,350,147 2,250,245 6,750,735

Collatz Trajectory (253 steps to reach 1)

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

6,750,735 20,252,206 10,126,103 30,378,310 15,189,155 45,567,466 22,783,733 68,351,200 34,175,600 17,087,800 8,543,900 4,271,950 2,135,975 6,407,926 3,203,963 9,611,890 4,805,945 14,417,836 7,208,918 3,604,459 10,813,378 5,406,689 16,220,068 8,110,034 4,055,017 12,165,052 6,082,526 3,041,263 9,123,790 4,561,895 13,685,686 6,842,843 20,528,530 10,264,265 30,792,796 15,396,398 7,698,199 23,094,598 11,547,299 34,641,898 17,320,949 51,962,848 25,981,424 12,990,712 6,495,356 3,247,678 1,623,839 4,871,518 2,435,759 7,307,278 3,653,639 10,960,918 5,480,459 16,441,378 8,220,689 24,662,068 12,331,034 6,165,517 18,496,552 9,248,276

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