λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,929,725
8,929,725
3 × 52 × 7 × 73 × 233
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 73 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,177,472
Proper Divisor Sum 8,247,747
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8929673 ← → #8929733

Radix Representation

Decimal 8929725
Binary 100010000100000110111101 (24 bits)
Octal 0o42040675
Hexadecimal 0x8841BD

Divisor Catalog (48)

1 3 5 7 15 21 25 35 73 75 105 175 219 233 365 511 525 699 1,095 1,165 1,533 1,631 1,825 2,555 3,495 4,893 5,475 5,825 7,665 8,155 12,775 17,009 17,475 24,465 38,325 40,775 51,027 85,045 119,063 122,325 255,135 357,189 425,225 595,315 1,275,675 1,785,945 2,976,575 8,929,725

Collatz Trajectory (194 steps to reach 1)

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

8,929,725 26,789,176 13,394,588 6,697,294 3,348,647 10,045,942 5,022,971 15,068,914 7,534,457 22,603,372 11,301,686 5,650,843 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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