λ
Ratio Atlas
Atlas › Integer Profiles › Node 681,609
681,609
3 × 127 × 1789
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 127 × 1789
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 916,480
Proper Divisor Sum 234,871
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #681607 ← → #681613

Radix Representation

Decimal 681609
Binary 10100110011010001001 (20 bits)
Octal 0o2463211
Hexadecimal 0xA6689

Divisor Catalog (8)

1 3 127 381 1,789 5,367 227,203 681,609

Collatz Trajectory (190 steps to reach 1)

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

681,609 2,044,828 1,022,414 511,207 1,533,622 766,811 2,300,434 1,150,217 3,450,652 1,725,326 862,663 2,587,990 1,293,995 3,881,986 1,940,993 5,822,980 2,911,490 1,455,745 4,367,236 2,183,618 1,091,809 3,275,428 1,637,714 818,857 2,456,572 1,228,286 614,143 1,842,430 921,215 2,763,646 1,381,823 4,145,470 2,072,735 6,218,206 3,109,103 9,327,310 4,663,655 13,990,966 6,995,483 20,986,450 10,493,225 31,479,676 15,739,838 7,869,919 23,609,758 11,804,879 35,414,638 17,707,319 53,121,958 26,560,979 79,682,938 39,841,469 119,524,408 59,762,204 29,881,102 14,940,551 44,821,654 22,410,827 67,232,482 33,616,241

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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