λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,937,590
3,937,590
2 × 32 × 5 × 67 × 653
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 67 × 653
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,406,448
Proper Divisor Sum 6,468,858
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3937573 ← → #3937607

Radix Representation

Decimal 3937590
Binary 1111000001010100110110 (22 bits)
Octal 0o17012466
Hexadecimal 0x3C1536

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 653 670 1,005 1,206 1,306 1,959 2,010 3,015 3,265 3,918 5,877 6,030 6,530 9,795 11,754 19,590 29,385 43,751 58,770 87,502 131,253 218,755 262,506 393,759 437,510 656,265 787,518 1,312,530 1,968,795 3,937,590

Collatz Trajectory (146 steps to reach 1)

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

3,937,590 1,968,795 5,906,386 2,953,193 8,859,580 4,429,790 2,214,895 6,644,686 3,322,343 9,967,030 4,983,515 14,950,546 7,475,273 22,425,820 11,212,910 5,606,455 16,819,366 8,409,683 25,229,050 12,614,525 37,843,576 18,921,788 9,460,894 4,730,447 14,191,342 7,095,671 21,287,014 10,643,507 31,930,522 15,965,261 47,895,784 23,947,892 11,973,946 5,986,973 17,960,920 8,980,460 4,490,230 2,245,115 6,735,346 3,367,673 10,103,020 5,051,510 2,525,755 7,577,266 3,788,633 11,365,900 5,682,950 2,841,475 8,524,426 4,262,213 12,786,640 6,393,320 3,196,660 1,598,330 799,165 2,397,496 1,198,748 599,374 299,687 899,062

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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