λ
Ratio Atlas
Atlas › Integer Profiles › Node 906,015
906,015
3 × 5 × 11 × 172 × 19
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 11 × 17^2 × 19
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,768,320
Proper Divisor Sum 862,305
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #906013 ← → #906023

Radix Representation

Decimal 906015
Binary 11011101001100011111 (20 bits)
Octal 0o3351437
Hexadecimal 0xDD31F

Divisor Catalog (48)

1 3 5 11 15 17 19 33 51 55 57 85 95 165 187 209 255 285 289 323 561 627 867 935 969 1,045 1,445 1,615 2,805 3,135 3,179 3,553 4,335 4,845 5,491 9,537 10,659 15,895 16,473 17,765 27,455 47,685 53,295 60,401 82,365 181,203 302,005 906,015

Collatz Trajectory (245 steps to reach 1)

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

906,015 2,718,046 1,359,023 4,077,070 2,038,535 6,115,606 3,057,803 9,173,410 4,586,705 13,760,116 6,880,058 3,440,029 10,320,088 5,160,044 2,580,022 1,290,011 3,870,034 1,935,017 5,805,052 2,902,526 1,451,263 4,353,790 2,176,895 6,530,686 3,265,343 9,796,030 4,898,015 14,694,046 7,347,023 22,041,070 11,020,535 33,061,606 16,530,803 49,592,410 24,796,205 74,388,616 37,194,308 18,597,154 9,298,577 27,895,732 13,947,866 6,973,933 20,921,800 10,460,900 5,230,450 2,615,225 7,845,676 3,922,838 1,961,419 5,884,258 2,942,129 8,826,388 4,413,194 2,206,597 6,619,792 3,309,896 1,654,948 827,474 413,737 1,241,212

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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