λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,779,326
5,779,326
2 × 3 × 7 × 37 × 3719
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 37 × 3719
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,570,560
Proper Divisor Sum 7,791,234
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5779307 ← → #5779331

Radix Representation

Decimal 5779326
Binary 10110000010111101111110 (23 bits)
Octal 0o26027576
Hexadecimal 0x582F7E

Divisor Catalog (32)

1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 1,554 3,719 7,438 11,157 22,314 26,033 52,066 78,099 137,603 156,198 275,206 412,809 825,618 963,221 1,926,442 2,889,663 5,779,326

Collatz Trajectory (232 steps to reach 1)

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

5,779,326 2,889,663 8,668,990 4,334,495 13,003,486 6,501,743 19,505,230 9,752,615 29,257,846 14,628,923 43,886,770 21,943,385 65,830,156 32,915,078 16,457,539 49,372,618 24,686,309 74,058,928 37,029,464 18,514,732 9,257,366 4,628,683 13,886,050 6,943,025 20,829,076 10,414,538 5,207,269 15,621,808 7,810,904 3,905,452 1,952,726 976,363 2,929,090 1,464,545 4,393,636 2,196,818 1,098,409 3,295,228 1,647,614 823,807 2,471,422 1,235,711 3,707,134 1,853,567 5,560,702 2,780,351 8,341,054 4,170,527 12,511,582 6,255,791 18,767,374 9,383,687 28,151,062 14,075,531 42,226,594 21,113,297 63,339,892 31,669,946 15,834,973 47,504,920

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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