λ
Sequence Observatory

9,864,894

2 × 3 × 13 × 126473
Abundant Even Composite

Starting at 9,864,894, the Collatz iteration reaches 1 after 176 steps. The first transition is 4932447; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 126473
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 21,247,632
Proper Divisor Sum 11,382,738
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #9864889 ← → #9864937

Radix Representation

Decimal 9864894
Binary 100101101000011010111110 (24 bits)
Octal 0o45503276
Hexadecimal 0x9686BE

Divisor Catalog (16)

1 2 3 6 13 26 39 78 126,473 252,946 379,419 758,838 1,644,149 3,288,298 4,932,447 9,864,894

Collatz Trajectory (176 steps to reach 1)

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

9,864,894 4,932,447 14,797,342 7,398,671 22,196,014 11,098,007 33,294,022 16,647,011 49,941,034 24,970,517 74,911,552 37,455,776 18,727,888 9,363,944 4,681,972 2,340,986 1,170,493 3,511,480 1,755,740 877,870 438,935 1,316,806 658,403 1,975,210 987,605 2,962,816 1,481,408 740,704 370,352 185,176 92,588 46,294 23,147 69,442 34,721 104,164 52,082 26,041 78,124 39,062 19,531 58,594 29,297 87,892 43,946 21,973 65,920 32,960 16,480 8,240 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290

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