λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,722,685
9,722,685
3 × 5 × 7 × 29 × 31 × 103
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 29 × 31 × 103
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,169,280
Proper Divisor Sum 9,446,595
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9722681 ← → #9722693

Radix Representation

Decimal 9722685
Binary 100101000101101100111101 (24 bits)
Octal 0o45055475
Hexadecimal 0x945B3D

Divisor Catalog (60 of 64)

1 3 5 7 15 21 29 31 35 87 93 103 105 145 155 203 217 309 435 465 515 609 651 721 899 1,015 1,085 1,545 2,163 2,697 2,987 3,045 3,193 3,255 3,605 4,495 6,293 8,961 9,579 10,815 13,485 14,935 15,965 18,879 20,909 22,351 31,465 44,805 47,895 62,727 67,053 92,597 94,395 104,545 111,755 277,791 313,635 335,265 462,985 648,179

Collatz Trajectory (225 steps to reach 1)

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

9,722,685 29,168,056 14,584,028 7,292,014 3,646,007 10,938,022 5,469,011 16,407,034 8,203,517 24,610,552 12,305,276 6,152,638 3,076,319 9,228,958 4,614,479 13,843,438 6,921,719 20,765,158 10,382,579 31,147,738 15,573,869 46,721,608 23,360,804 11,680,402 5,840,201 17,520,604 8,760,302 4,380,151 13,140,454 6,570,227 19,710,682 9,855,341 29,566,024 14,783,012 7,391,506 3,695,753 11,087,260 5,543,630 2,771,815 8,315,446 4,157,723 12,473,170 6,236,585 18,709,756 9,354,878 4,677,439 14,032,318 7,016,159 21,048,478 10,524,239 31,572,718 15,786,359 47,359,078 23,679,539 71,038,618 35,519,309 106,557,928 53,278,964 26,639,482 13,319,741

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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