3,393,381

3 × 19 × 37 × 1609

Starting at 3,393,381, the Collatz iteration reaches 1 after 84 steps. The first transition is 10180144; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 19 × 37 × 1609

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,894,400

Proper Divisor Sum 1,501,019

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3393373 ← → #3393409

Radix Representation

Decimal	3393381
Binary	1100111100011101100101 (22 bits)
Octal	0o14743545
Hexadecimal	0x33C765

Divisor Catalog (16)

1 3 19 37 57 111 703 1,609 2,109 4,827 30,571 59,533 91,713 178,599 1,131,127 3,393,381

Collatz Trajectory (84 steps to reach 1)

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

3,393,381 10,180,144 5,090,072 2,545,036 1,272,518 636,259 1,908,778 954,389 2,863,168 1,431,584 715,792 357,896 178,948 89,474 44,737 134,212 67,106 33,553 100,660 50,330 25,165 75,496 37,748 18,874 9,437 28,312 14,156 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100

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