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Ratio Atlas
Atlas › Integer Profiles › Node 8,788,779
8,788,779
32 × 172 × 31 × 109
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 17^2 × 31 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 14,048,320
Proper Divisor Sum 5,259,541
Digit Sum / Digital Root 54 (Root: 9)
Adjacent Primes #8788777 ← → #8788799

Radix Representation

Decimal 8788779
Binary 100001100001101100101011 (24 bits)
Octal 0o41415453
Hexadecimal 0x861B2B

Divisor Catalog (36)

1 3 9 17 31 51 93 109 153 279 289 327 527 867 981 1,581 1,853 2,601 3,379 4,743 5,559 8,959 10,137 16,677 26,877 30,411 31,501 57,443 80,631 94,503 172,329 283,509 516,987 976,531 2,929,593 8,788,779

Collatz Trajectory (150 steps to reach 1)

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

8,788,779 26,366,338 13,183,169 39,549,508 19,774,754 9,887,377 29,662,132 14,831,066 7,415,533 22,246,600 11,123,300 5,561,650 2,780,825 8,342,476 4,171,238 2,085,619 6,256,858 3,128,429 9,385,288 4,692,644 2,346,322 1,173,161 3,519,484 1,759,742 879,871 2,639,614 1,319,807 3,959,422 1,979,711 5,939,134 2,969,567 8,908,702 4,454,351 13,363,054 6,681,527 20,044,582 10,022,291 30,066,874 15,033,437 45,100,312 22,550,156 11,275,078 5,637,539 16,912,618 8,456,309 25,368,928 12,684,464 6,342,232 3,171,116 1,585,558 792,779 2,378,338 1,189,169 3,567,508 1,783,754 891,877 2,675,632 1,337,816 668,908 334,454

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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