λ
Sequence Observatory

4,117,902

2 × 3 × 686317
Abundant Even Composite

Starting at 4,117,902, the Collatz iteration reaches 1 after 154 steps. The first transition is 2058951; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 686317
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,235,816
Proper Divisor Sum 4,117,914
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4117877 ← → #4117903

Radix Representation

Decimal 4117902
Binary 1111101101010110001110 (22 bits)
Octal 0o17552616
Hexadecimal 0x3ED58E

Divisor Catalog (8)

1 2 3 6 686,317 1,372,634 2,058,951 4,117,902

Collatz Trajectory (154 steps to reach 1)

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

4,117,902 2,058,951 6,176,854 3,088,427 9,265,282 4,632,641 13,897,924 6,948,962 3,474,481 10,423,444 5,211,722 2,605,861 7,817,584 3,908,792 1,954,396 977,198 488,599 1,465,798 732,899 2,198,698 1,099,349 3,298,048 1,649,024 824,512 412,256 206,128 103,064 51,532 25,766 12,883 38,650 19,325 57,976 28,988 14,494 7,247 21,742 10,871 32,614 16,307 48,922 24,461 73,384 36,692 18,346 9,173 27,520 13,760 6,880 3,440 1,720 860 430 215 646 323 970 485 1,456 728

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