λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,585,015
3,585,015
32 × 5 × 7 × 19 × 599
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 19 × 599
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,488,000
Proper Divisor Sum 3,902,985
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3585013 ← → #3585073

Radix Representation

Decimal 3585015
Binary 1101101011001111110111 (22 bits)
Octal 0o15531767
Hexadecimal 0x36B3F7

Divisor Catalog (48)

1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 599 665 855 1,197 1,797 1,995 2,995 4,193 5,391 5,985 8,985 11,381 12,579 20,965 26,955 34,143 37,737 56,905 62,895 79,667 102,429 170,715 188,685 239,001 398,335 512,145 717,003 1,195,005 3,585,015

Collatz Trajectory (115 steps to reach 1)

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

3,585,015 10,755,046 5,377,523 16,132,570 8,066,285 24,198,856 12,099,428 6,049,714 3,024,857 9,074,572 4,537,286 2,268,643 6,805,930 3,402,965 10,208,896 5,104,448 2,552,224 1,276,112 638,056 319,028 159,514 79,757 239,272 119,636 59,818 29,909 89,728 44,864 22,432 11,216 5,608 2,804 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638

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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