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Ratio Atlas
Atlas › Integer Profiles › Node 10,097,575
10,097,575
52 × 17 × 23 × 1033
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 17 × 23 × 1033
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,847,328
Proper Divisor Sum 3,749,753
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #10097573 ← → #10097587

Radix Representation

Decimal 10097575
Binary 100110100001001110100111 (24 bits)
Octal 0o46411647
Hexadecimal 0x9A13A7

Divisor Catalog (24)

1 5 17 23 25 85 115 391 425 575 1,033 1,955 5,165 9,775 17,561 23,759 25,825 87,805 118,795 403,903 439,025 593,975 2,019,515 10,097,575

Collatz Trajectory (132 steps to reach 1)

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

10,097,575 30,292,726 15,146,363 45,439,090 22,719,545 68,158,636 34,079,318 17,039,659 51,118,978 25,559,489 76,678,468 38,339,234 19,169,617 57,508,852 28,754,426 14,377,213 43,131,640 21,565,820 10,782,910 5,391,455 16,174,366 8,087,183 24,261,550 12,130,775 36,392,326 18,196,163 54,588,490 27,294,245 81,882,736 40,941,368 20,470,684 10,235,342 5,117,671 15,353,014 7,676,507 23,029,522 11,514,761 34,544,284 17,272,142 8,636,071 25,908,214 12,954,107 38,862,322 19,431,161 58,293,484 29,146,742 14,573,371 43,720,114 21,860,057 65,580,172 32,790,086 16,395,043 49,185,130 24,592,565 73,777,696 36,888,848 18,444,424 9,222,212 4,611,106 2,305,553

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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