3,412,696

2³ × 7 × 149 × 409

Starting at 3,412,696, the Collatz iteration reaches 1 after 115 steps. The first transition is 1706348; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 149 × 409

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,380,000

Proper Divisor Sum 3,967,304

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3412687 ← → #3412727

Radix Representation

Decimal	3412696
Binary	1101000001001011011000 (22 bits)
Octal	0o15011330
Hexadecimal	0x3412D8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 149 298 409 596 818 1,043 1,192 1,636 2,086 2,863 3,272 4,172 5,726 8,344 11,452 22,904 60,941 121,882 243,764 426,587 487,528 853,174 1,706,348 3,412,696

Collatz Trajectory (115 steps to reach 1)

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

3,412,696 1,706,348 853,174 426,587 1,279,762 639,881 1,919,644 959,822 479,911 1,439,734 719,867 2,159,602 1,079,801 3,239,404 1,619,702 809,851 2,429,554 1,214,777 3,644,332 1,822,166 911,083 2,733,250 1,366,625 4,099,876 2,049,938 1,024,969 3,074,908 1,537,454 768,727 2,306,182 1,153,091 3,459,274 1,729,637 5,188,912 2,594,456 1,297,228 648,614 324,307 972,922 486,461 1,459,384 729,692 364,846 182,423 547,270 273,635 820,906 410,453 1,231,360 615,680 307,840 153,920 76,960 38,480 19,240 9,620 4,810 2,405 7,216 3,608

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