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Ratio Atlas
Atlas › Integer Profiles › Node 17,527,527
17,527,527
32 × 17 × 109 × 1051
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 17 × 109 × 1051
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 27,078,480
Proper Divisor Sum 9,550,953
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #17527487 ← → #17527567

Radix Representation

Decimal 17527527
Binary 1000010110111001011100111 (25 bits)
Octal 0o102671347
Hexadecimal 0x10B72E7

Divisor Catalog (24)

1 3 9 17 51 109 153 327 981 1,051 1,853 3,153 5,559 9,459 16,677 17,867 53,601 114,559 160,803 343,677 1,031,031 1,947,503 5,842,509 17,527,527

Collatz Trajectory (151 steps to reach 1)

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

17,527,527 52,582,582 26,291,291 78,873,874 39,436,937 118,310,812 59,155,406 29,577,703 88,733,110 44,366,555 133,099,666 66,549,833 199,649,500 99,824,750 49,912,375 149,737,126 74,868,563 224,605,690 112,302,845 336,908,536 168,454,268 84,227,134 42,113,567 126,340,702 63,170,351 189,511,054 94,755,527 284,266,582 142,133,291 426,399,874 213,199,937 639,599,812 319,799,906 159,899,953 479,699,860 239,849,930 119,924,965 359,774,896 179,887,448 89,943,724 44,971,862 22,485,931 67,457,794 33,728,897 101,186,692 50,593,346 25,296,673 75,890,020 37,945,010 18,972,505 56,917,516 28,458,758 14,229,379 42,688,138 21,344,069 64,032,208 32,016,104 16,008,052 8,004,026 4,002,013

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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