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Ratio Atlas
Atlas › Integer Profiles › Node 10,040,758
10,040,758
2 × 7 × 13 × 43 × 1283
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 13 × 43 × 1283
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,982,656
Proper Divisor Sum 8,941,898
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #10040741 ← → #10040791

Radix Representation

Decimal 10040758
Binary 100110010011010110110110 (24 bits)
Octal 0o46232666
Hexadecimal 0x9935B6

Divisor Catalog (32)

1 2 7 13 14 26 43 86 91 182 301 559 602 1,118 1,283 2,566 3,913 7,826 8,981 16,679 17,962 33,358 55,169 110,338 116,753 233,506 386,183 717,197 772,366 1,434,394 5,020,379 10,040,758

Collatz Trajectory (163 steps to reach 1)

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

10,040,758 5,020,379 15,061,138 7,530,569 22,591,708 11,295,854 5,647,927 16,943,782 8,471,891 25,415,674 12,707,837 38,123,512 19,061,756 9,530,878 4,765,439 14,296,318 7,148,159 21,444,478 10,722,239 32,166,718 16,083,359 48,250,078 24,125,039 72,375,118 36,187,559 108,562,678 54,281,339 162,844,018 81,422,009 244,266,028 122,133,014 61,066,507 183,199,522 91,599,761 274,799,284 137,399,642 68,699,821 206,099,464 103,049,732 51,524,866 25,762,433 77,287,300 38,643,650 19,321,825 57,965,476 28,982,738 14,491,369 43,474,108 21,737,054 10,868,527 32,605,582 16,302,791 48,908,374 24,454,187 73,362,562 36,681,281 110,043,844 55,021,922 27,510,961 82,532,884

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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