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Ratio Atlas
Atlas › Integer Profiles › Node 477,576
477,576
23 × 34 × 11 × 67
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^4 × 11 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 1,481,040
Proper Divisor Sum 1,003,464
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #477571 ← → #477577

Radix Representation

Decimal 477576
Binary 1110100100110001000 (19 bits)
Octal 0o1644610
Hexadecimal 0x74988

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 67 72 81 88 99 108 132 134 162 198 201 216 264 268 297 324 396 402 536 594 603 648 737 792 804 891 1,188 1,206 1,474 1,608 1,782 1,809 2,211 2,376 2,412 2,948 3,564 3,618 4,422 4,824 5,427 5,896

Collatz Trajectory (76 steps to reach 1)

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

477,576 238,788 119,394 59,697 179,092 89,546 44,773 134,320 67,160 33,580 16,790 8,395 25,186 12,593 37,780 18,890 9,445 28,336 14,168 7,084 3,542 1,771 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88

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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