λ
Sequence Observatory

3,936,700

22 × 52 × 39367
Abundant Even Composite

Starting at 3,936,700, the Collatz iteration reaches 1 after 123 steps. The first transition is 1968350; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 39367
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 8,542,856
Proper Divisor Sum 4,606,156
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3936683 ← → #3936727

Radix Representation

Decimal 3936700
Binary 1111000001000110111100 (22 bits)
Octal 0o17010674
Hexadecimal 0x3C11BC

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 39,367 78,734 157,468 196,835 393,670 787,340 984,175 1,968,350 3,936,700

Collatz Trajectory (123 steps to reach 1)

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

3,936,700 1,968,350 984,175 2,952,526 1,476,263 4,428,790 2,214,395 6,643,186 3,321,593 9,964,780 4,982,390 2,491,195 7,473,586 3,736,793 11,210,380 5,605,190 2,802,595 8,407,786 4,203,893 12,611,680 6,305,840 3,152,920 1,576,460 788,230 394,115 1,182,346 591,173 1,773,520 886,760 443,380 221,690 110,845 332,536 166,268 83,134 41,567 124,702 62,351 187,054 93,527 280,582 140,291 420,874 210,437 631,312 315,656 157,828 78,914 39,457 118,372 59,186 29,593 88,780 44,390 22,195 66,586 33,293 99,880 49,940 24,970

More profiles

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