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Ratio Atlas
Atlas › Integer Profiles › Node 17,577,495
17,577,495
32 × 5 × 13 × 30047
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 30047
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 32,812,416
Proper Divisor Sum 15,234,921
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #17577493 ← → #17577499

Radix Representation

Decimal 17577495
Binary 1000011000011011000010111 (25 bits)
Octal 0o103033027
Hexadecimal 0x10C3617

Divisor Catalog (24)

1 3 5 9 13 15 39 45 65 117 195 585 30,047 90,141 150,235 270,423 390,611 450,705 1,171,833 1,352,115 1,953,055 3,515,499 5,859,165 17,577,495

Collatz Trajectory (195 steps to reach 1)

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

17,577,495 52,732,486 26,366,243 79,098,730 39,549,365 118,648,096 59,324,048 29,662,024 14,831,012 7,415,506 3,707,753 11,123,260 5,561,630 2,780,815 8,342,446 4,171,223 12,513,670 6,256,835 18,770,506 9,385,253 28,155,760 14,077,880 7,038,940 3,519,470 1,759,735 5,279,206 2,639,603 7,918,810 3,959,405 11,878,216 5,939,108 2,969,554 1,484,777 4,454,332 2,227,166 1,113,583 3,340,750 1,670,375 5,011,126 2,505,563 7,516,690 3,758,345 11,275,036 5,637,518 2,818,759 8,456,278 4,228,139 12,684,418 6,342,209 19,026,628 9,513,314 4,756,657 14,269,972 7,134,986 3,567,493 10,702,480 5,351,240 2,675,620 1,337,810 668,905

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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