4,085,277

3 × 7² × 27791

Starting at 4,085,277, the Collatz iteration reaches 1 after 105 steps. The first transition is 12255832; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 27791

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,336,576

Proper Divisor Sum 2,251,299

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4085267 ← → #4085309

Radix Representation

Decimal	4085277
Binary	1111100101011000011101 (22 bits)
Octal	0o17453035
Hexadecimal	0x3E561D

Divisor Catalog (12)

1 3 7 21 49 147 27,791 83,373 194,537 583,611 1,361,759 4,085,277

Collatz Trajectory (105 steps to reach 1)

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

4,085,277 12,255,832 6,127,916 3,063,958 1,531,979 4,595,938 2,297,969 6,893,908 3,446,954 1,723,477 5,170,432 2,585,216 1,292,608 646,304 323,152 161,576 80,788 40,394 20,197 60,592 30,296 15,148 7,574 3,787 11,362 5,681 17,044 8,522 4,261 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722

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