λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,777,590
5,777,590
2 × 5 × 72 × 13 × 907
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 13 × 907
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,042,512
Proper Divisor Sum 7,264,922
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5777573 ← → #5777593

Radix Representation

Decimal 5777590
Binary 10110000010100010110110 (23 bits)
Octal 0o26024266
Hexadecimal 0x5828B6

Divisor Catalog (48)

1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 455 490 637 907 910 1,274 1,814 3,185 4,535 6,349 6,370 9,070 11,791 12,698 23,582 31,745 44,443 58,955 63,490 82,537 88,886 117,910 165,074 222,215 412,685 444,430 577,759 825,370 1,155,518 2,888,795 5,777,590

Collatz Trajectory (258 steps to reach 1)

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

5,777,590 2,888,795 8,666,386 4,333,193 12,999,580 6,499,790 3,249,895 9,749,686 4,874,843 14,624,530 7,312,265 21,936,796 10,968,398 5,484,199 16,452,598 8,226,299 24,678,898 12,339,449 37,018,348 18,509,174 9,254,587 27,763,762 13,881,881 41,645,644 20,822,822 10,411,411 31,234,234 15,617,117 46,851,352 23,425,676 11,712,838 5,856,419 17,569,258 8,784,629 26,353,888 13,176,944 6,588,472 3,294,236 1,647,118 823,559 2,470,678 1,235,339 3,706,018 1,853,009 5,559,028 2,779,514 1,389,757 4,169,272 2,084,636 1,042,318 521,159 1,563,478 781,739 2,345,218 1,172,609 3,517,828 1,758,914 879,457 2,638,372 1,319,186

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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