λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,107,945
9,107,945
5 × 7 × 11 × 41 × 577
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 11 × 41 × 577
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,982,976
Proper Divisor Sum 4,875,031
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9107941 ← → #9107999

Radix Representation

Decimal 9107945
Binary 100010101111100111101001 (24 bits)
Octal 0o42574751
Hexadecimal 0x8AF9E9

Divisor Catalog (32)

1 5 7 11 35 41 55 77 205 287 385 451 577 1,435 2,255 2,885 3,157 4,039 6,347 15,785 20,195 23,657 31,735 44,429 118,285 165,599 222,145 260,227 827,995 1,301,135 1,821,589 9,107,945

Collatz Trajectory (225 steps to reach 1)

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

9,107,945 27,323,836 13,661,918 6,830,959 20,492,878 10,246,439 30,739,318 15,369,659 46,108,978 23,054,489 69,163,468 34,581,734 17,290,867 51,872,602 25,936,301 77,808,904 38,904,452 19,452,226 9,726,113 29,178,340 14,589,170 7,294,585 21,883,756 10,941,878 5,470,939 16,412,818 8,206,409 24,619,228 12,309,614 6,154,807 18,464,422 9,232,211 27,696,634 13,848,317 41,544,952 20,772,476 10,386,238 5,193,119 15,579,358 7,789,679 23,369,038 11,684,519 35,053,558 17,526,779 52,580,338 26,290,169 78,870,508 39,435,254 19,717,627 59,152,882 29,576,441 88,729,324 44,364,662 22,182,331 66,546,994 33,273,497 99,820,492 49,910,246 24,955,123 74,865,370

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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