λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,745,005
9,745,005
3 × 5 × 19 × 31 × 1103
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 19 × 31 × 1103
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,957,440
Proper Divisor Sum 7,212,435
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9744997 ← → #9745009

Radix Representation

Decimal 9745005
Binary 100101001011001001101101 (24 bits)
Octal 0o45131155
Hexadecimal 0x94B26D

Divisor Catalog (32)

1 3 5 15 19 31 57 93 95 155 285 465 589 1,103 1,767 2,945 3,309 5,515 8,835 16,545 20,957 34,193 62,871 102,579 104,785 170,965 314,355 512,895 649,667 1,949,001 3,248,335 9,745,005

Collatz Trajectory (269 steps to reach 1)

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

9,745,005 29,235,016 14,617,508 7,308,754 3,654,377 10,963,132 5,481,566 2,740,783 8,222,350 4,111,175 12,333,526 6,166,763 18,500,290 9,250,145 27,750,436 13,875,218 6,937,609 20,812,828 10,406,414 5,203,207 15,609,622 7,804,811 23,414,434 11,707,217 35,121,652 17,560,826 8,780,413 26,341,240 13,170,620 6,585,310 3,292,655 9,877,966 4,938,983 14,816,950 7,408,475 22,225,426 11,112,713 33,338,140 16,669,070 8,334,535 25,003,606 12,501,803 37,505,410 18,752,705 56,258,116 28,129,058 14,064,529 42,193,588 21,096,794 10,548,397 31,645,192 15,822,596 7,911,298 3,955,649 11,866,948 5,933,474 2,966,737 8,900,212 4,450,106 2,225,053

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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