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Ratio Atlas
Atlas › Integer Profiles › Node 10,244,073
10,244,073
3 × 7 × 47 × 97 × 107
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 47 × 97 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,257,024
Proper Divisor Sum 6,012,951
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #10244053 ← → #10244089

Radix Representation

Decimal 10244073
Binary 100111000100111111101001 (24 bits)
Octal 0o47047751
Hexadecimal 0x9C4FE9

Divisor Catalog (32)

1 3 7 21 47 97 107 141 291 321 329 679 749 987 2,037 2,247 4,559 5,029 10,379 13,677 15,087 31,137 31,913 35,203 72,653 95,739 105,609 217,959 487,813 1,463,439 3,414,691 10,244,073

Collatz Trajectory (238 steps to reach 1)

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

10,244,073 30,732,220 15,366,110 7,683,055 23,049,166 11,524,583 34,573,750 17,286,875 51,860,626 25,930,313 77,790,940 38,895,470 19,447,735 58,343,206 29,171,603 87,514,810 43,757,405 131,272,216 65,636,108 32,818,054 16,409,027 49,227,082 24,613,541 73,840,624 36,920,312 18,460,156 9,230,078 4,615,039 13,845,118 6,922,559 20,767,678 10,383,839 31,151,518 15,575,759 46,727,278 23,363,639 70,090,918 35,045,459 105,136,378 52,568,189 157,704,568 78,852,284 39,426,142 19,713,071 59,139,214 29,569,607 88,708,822 44,354,411 133,063,234 66,531,617 199,594,852 99,797,426 49,898,713 149,696,140 74,848,070 37,424,035 112,272,106 56,136,053 168,408,160 84,204,080

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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