3,414,390

2 × 3 × 5 × 7 × 71 × 229

Starting at 3,414,390, the Collatz iteration reaches 1 after 84 steps. The first transition is 1707195; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 71 × 229

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 9,538,560

Proper Divisor Sum 6,124,170

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3414379 ← → #3414391

Radix Representation

Decimal	3414390
Binary	1101000001100101110110 (22 bits)
Octal	0o15014566
Hexadecimal	0x341976

Divisor Catalog (60 of 64)

1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 142 210 213 229 355 426 458 497 687 710 994 1,065 1,145 1,374 1,491 1,603 2,130 2,290 2,485 2,982 3,206 3,435 4,809 4,970 6,870 7,455 8,015 9,618 14,910 16,030 16,259 24,045 32,518 48,090 48,777 81,295 97,554 113,813 162,590 227,626 243,885 341,439 487,770 569,065

Collatz Trajectory (84 steps to reach 1)

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

3,414,390 1,707,195 5,121,586 2,560,793 7,682,380 3,841,190 1,920,595 5,761,786 2,880,893 8,642,680 4,321,340 2,160,670 1,080,335 3,241,006 1,620,503 4,861,510 2,430,755 7,292,266 3,646,133 10,938,400 5,469,200 2,734,600 1,367,300 683,650 341,825 1,025,476 512,738 256,369 769,108 384,554 192,277 576,832 288,416 144,208 72,104 36,052 18,026 9,013 27,040 13,520 6,760 3,380 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101

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