λ
Sequence Observatory

984,012

22 × 3 × 43 × 1907
Abundant Even Composite

Starting at 984,012, the Collatz iteration reaches 1 after 170 steps. The first transition is 492006; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 43 × 1907
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,350,656
Proper Divisor Sum 1,366,644
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #984007 ← → #984017

Radix Representation

Decimal 984012
Binary 11110000001111001100 (20 bits)
Octal 0o3601714
Hexadecimal 0xF03CC

Divisor Catalog (24)

1 2 3 4 6 12 43 86 129 172 258 516 1,907 3,814 5,721 7,628 11,442 22,884 82,001 164,002 246,003 328,004 492,006 984,012

Collatz Trajectory (170 steps to reach 1)

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

984,012 492,006 246,003 738,010 369,005 1,107,016 553,508 276,754 138,377 415,132 207,566 103,783 311,350 155,675 467,026 233,513 700,540 350,270 175,135 525,406 262,703 788,110 394,055 1,182,166 591,083 1,773,250 886,625 2,659,876 1,329,938 664,969 1,994,908 997,454 498,727 1,496,182 748,091 2,244,274 1,122,137 3,366,412 1,683,206 841,603 2,524,810 1,262,405 3,787,216 1,893,608 946,804 473,402 236,701 710,104 355,052 177,526 88,763 266,290 133,145 399,436 199,718 99,859 299,578 149,789 449,368 224,684

More profiles

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