3,414,846

2 × 3 × 569141

Starting at 3,414,846, the Collatz iteration reaches 1 after 128 steps. The first transition is 1707423; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 569141

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,829,704

Proper Divisor Sum 3,414,858

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3414809 ← → #3414857

Radix Representation

Decimal	3414846
Binary	1101000001101100111110 (22 bits)
Octal	0o15015476
Hexadecimal	0x341B3E

Divisor Catalog (8)

1 2 3 6 569,141 1,138,282 1,707,423 3,414,846

Collatz Trajectory (128 steps to reach 1)

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

3,414,846 1,707,423 5,122,270 2,561,135 7,683,406 3,841,703 11,525,110 5,762,555 17,287,666 8,643,833 25,931,500 12,965,750 6,482,875 19,448,626 9,724,313 29,172,940 14,586,470 7,293,235 21,879,706 10,939,853 32,819,560 16,409,780 8,204,890 4,102,445 12,307,336 6,153,668 3,076,834 1,538,417 4,615,252 2,307,626 1,153,813 3,461,440 1,730,720 865,360 432,680 216,340 108,170 54,085 162,256 81,128 40,564 20,282 10,141 30,424 15,212 7,606 3,803 11,410 5,705 17,116 8,558 4,279 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611

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