λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,071,585
10,071,585
32 × 5 × 23 × 37 × 263
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 23 × 37 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,779,904
Proper Divisor Sum 8,708,319
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #10071571 ← → #10071587

Radix Representation

Decimal 10071585
Binary 100110011010111000100001 (24 bits)
Octal 0o46327041
Hexadecimal 0x99AE21

Divisor Catalog (48)

1 3 5 9 15 23 37 45 69 111 115 185 207 263 333 345 555 789 851 1,035 1,315 1,665 2,367 2,553 3,945 4,255 6,049 7,659 9,731 11,835 12,765 18,147 29,193 30,245 38,295 48,655 54,441 87,579 90,735 145,965 223,813 272,205 437,895 671,439 1,119,065 2,014,317 3,357,195 10,071,585

Collatz Trajectory (207 steps to reach 1)

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

10,071,585 30,214,756 15,107,378 7,553,689 22,661,068 11,330,534 5,665,267 16,995,802 8,497,901 25,493,704 12,746,852 6,373,426 3,186,713 9,560,140 4,780,070 2,390,035 7,170,106 3,585,053 10,755,160 5,377,580 2,688,790 1,344,395 4,033,186 2,016,593 6,049,780 3,024,890 1,512,445 4,537,336 2,268,668 1,134,334 567,167 1,701,502 850,751 2,552,254 1,276,127 3,828,382 1,914,191 5,742,574 2,871,287 8,613,862 4,306,931 12,920,794 6,460,397 19,381,192 9,690,596 4,845,298 2,422,649 7,267,948 3,633,974 1,816,987 5,450,962 2,725,481 8,176,444 4,088,222 2,044,111 6,132,334 3,066,167 9,198,502 4,599,251 13,797,754

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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