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Ratio Atlas
Atlas › Integer Profiles › Node 5,777,720
5,777,720
23 × 5 × 13 × 41 × 271
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 41 × 271
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 14,394,240
Proper Divisor Sum 8,616,520
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5777719 ← → #5777743

Radix Representation

Decimal 5777720
Binary 10110000010100100111000 (23 bits)
Octal 0o26024470
Hexadecimal 0x582938

Divisor Catalog (60 of 64)

1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 164 205 260 271 328 410 520 533 542 820 1,066 1,084 1,355 1,640 2,132 2,168 2,665 2,710 3,523 4,264 5,330 5,420 7,046 10,660 10,840 11,111 14,092 17,615 21,320 22,222 28,184 35,230 44,444 55,555 70,460 88,888 111,110 140,920 144,443 222,220 288,886 444,440 577,772 722,215

Collatz Trajectory (214 steps to reach 1)

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

5,777,720 2,888,860 1,444,430 722,215 2,166,646 1,083,323 3,249,970 1,624,985 4,874,956 2,437,478 1,218,739 3,656,218 1,828,109 5,484,328 2,742,164 1,371,082 685,541 2,056,624 1,028,312 514,156 257,078 128,539 385,618 192,809 578,428 289,214 144,607 433,822 216,911 650,734 325,367 976,102 488,051 1,464,154 732,077 2,196,232 1,098,116 549,058 274,529 823,588 411,794 205,897 617,692 308,846 154,423 463,270 231,635 694,906 347,453 1,042,360 521,180 260,590 130,295 390,886 195,443 586,330 293,165 879,496 439,748 219,874

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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