λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,001,075
36,001,075
52 × 11 × 31 × 41 × 103
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 11 × 31 × 41 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 51,996,672
Proper Divisor Sum 15,995,597
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #36001051 ← → #36001079

Radix Representation

Decimal 36001075
Binary 10001001010101010100110011 (26 bits)
Octal 0o211252463
Hexadecimal 0x2255533

Divisor Catalog (48)

1 5 11 25 31 41 55 103 155 205 275 341 451 515 775 1,025 1,133 1,271 1,705 2,255 2,575 3,193 4,223 5,665 6,355 8,525 11,275 13,981 15,965 21,115 28,325 31,775 35,123 46,453 69,905 79,825 105,575 130,913 175,615 232,265 349,525 654,565 878,075 1,161,325 1,440,043 3,272,825 7,200,215 36,001,075

Collatz Trajectory (258 steps to reach 1)

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

36,001,075 108,003,226 54,001,613 162,004,840 81,002,420 40,501,210 20,250,605 60,751,816 30,375,908 15,187,954 7,593,977 22,781,932 11,390,966 5,695,483 17,086,450 8,543,225 25,629,676 12,814,838 6,407,419 19,222,258 9,611,129 28,833,388 14,416,694 7,208,347 21,625,042 10,812,521 32,437,564 16,218,782 8,109,391 24,328,174 12,164,087 36,492,262 18,246,131 54,738,394 27,369,197 82,107,592 41,053,796 20,526,898 10,263,449 30,790,348 15,395,174 7,697,587 23,092,762 11,546,381 34,639,144 17,319,572 8,659,786 4,329,893 12,989,680 6,494,840 3,247,420 1,623,710 811,855 2,435,566 1,217,783 3,653,350 1,826,675 5,480,026 2,740,013 8,220,040

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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