λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,391,164
10,391,164
22 × 7 × 29 × 67 × 191
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 29 × 67 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,934,080
Proper Divisor Sum 11,542,916
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #10391137 ← → #10391177

Radix Representation

Decimal 10391164
Binary 100111101000111001111100 (24 bits)
Octal 0o47507174
Hexadecimal 0x9E8E7C

Divisor Catalog (48)

1 2 4 7 14 28 29 58 67 116 134 191 203 268 382 406 469 764 812 938 1,337 1,876 1,943 2,674 3,886 5,348 5,539 7,772 11,078 12,797 13,601 22,156 25,594 27,202 38,773 51,188 54,404 77,546 89,579 155,092 179,158 358,316 371,113 742,226 1,484,452 2,597,791 5,195,582 10,391,164

Collatz Trajectory (163 steps to reach 1)

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

10,391,164 5,195,582 2,597,791 7,793,374 3,896,687 11,690,062 5,845,031 17,535,094 8,767,547 26,302,642 13,151,321 39,453,964 19,726,982 9,863,491 29,590,474 14,795,237 44,385,712 22,192,856 11,096,428 5,548,214 2,774,107 8,322,322 4,161,161 12,483,484 6,241,742 3,120,871 9,362,614 4,681,307 14,043,922 7,021,961 21,065,884 10,532,942 5,266,471 15,799,414 7,899,707 23,699,122 11,849,561 35,548,684 17,774,342 8,887,171 26,661,514 13,330,757 39,992,272 19,996,136 9,998,068 4,999,034 2,499,517 7,498,552 3,749,276 1,874,638 937,319 2,811,958 1,405,979 4,217,938 2,108,969 6,326,908 3,163,454 1,581,727 4,745,182 2,372,591

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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