3,727,427

11 × 338857

Starting at 3,727,427, the Collatz iteration reaches 1 after 84 steps. The first transition is 11182282; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 338857

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 4,066,296

Proper Divisor Sum 338,869

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3727397 ← → #3727441

Radix Representation

Decimal	3727427
Binary	1110001110000001000011 (22 bits)
Octal	0o16160103
Hexadecimal	0x38E043

Divisor Catalog (4)

1 11 338,857 3,727,427

Collatz Trajectory (84 steps to reach 1)

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

3,727,427 11,182,282 5,591,141 16,773,424 8,386,712 4,193,356 2,096,678 1,048,339 3,145,018 1,572,509 4,717,528 2,358,764 1,179,382 589,691 1,769,074 884,537 2,653,612 1,326,806 663,403 1,990,210 995,105 2,985,316 1,492,658 746,329 2,238,988 1,119,494 559,747 1,679,242 839,621 2,518,864 1,259,432 629,716 314,858 157,429 472,288 236,144 118,072 59,036 29,518 14,759 44,278 22,139 66,418 33,209 99,628 49,814 24,907 74,722 37,361 112,084 56,042 28,021 84,064 42,032 21,016 10,508 5,254 2,627 7,882 3,941

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