λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,929,726
8,929,726
2 × 13 × 17 × 89 × 227
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 17 × 89 × 227
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,513,120
Proper Divisor Sum 6,583,394
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8929673 ← → #8929733

Radix Representation

Decimal 8929726
Binary 100010000100000110111110 (24 bits)
Octal 0o42040676
Hexadecimal 0x8841BE

Divisor Catalog (32)

1 2 13 17 26 34 89 178 221 227 442 454 1,157 1,513 2,314 2,951 3,026 3,859 5,902 7,718 19,669 20,203 39,338 40,406 50,167 100,334 262,639 343,451 525,278 686,902 4,464,863 8,929,726

Collatz Trajectory (194 steps to reach 1)

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

8,929,726 4,464,863 13,394,590 6,697,295 20,091,886 10,045,943 30,137,830 15,068,915 45,206,746 22,603,373 67,810,120 33,905,060 16,952,530 8,476,265 25,428,796 12,714,398 6,357,199 19,071,598 9,535,799 28,607,398 14,303,699 42,911,098 21,455,549 64,366,648 32,183,324 16,091,662 8,045,831 24,137,494 12,068,747 36,206,242 18,103,121 54,309,364 27,154,682 13,577,341 40,732,024 20,366,012 10,183,006 5,091,503 15,274,510 7,637,255 22,911,766 11,455,883 34,367,650 17,183,825 51,551,476 25,775,738 12,887,869 38,663,608 19,331,804 9,665,902 4,832,951 14,498,854 7,249,427 21,748,282 10,874,141 32,622,424 16,311,212 8,155,606 4,077,803 12,233,410

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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