λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,245,534
10,245,534
2 × 3 × 13 × 23 × 5711
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 13 × 23 × 5711
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,030,784
Proper Divisor Sum 12,785,250
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #10245533 ← → #10245563

Radix Representation

Decimal 10245534
Binary 100111000101010110011110 (24 bits)
Octal 0o47052636
Hexadecimal 0x9C559E

Divisor Catalog (32)

1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1,794 5,711 11,422 17,133 34,266 74,243 131,353 148,486 222,729 262,706 394,059 445,458 788,118 1,707,589 3,415,178 5,122,767 10,245,534

Collatz Trajectory (238 steps to reach 1)

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

10,245,534 5,122,767 15,368,302 7,684,151 23,052,454 11,526,227 34,578,682 17,289,341 51,868,024 25,934,012 12,967,006 6,483,503 19,450,510 9,725,255 29,175,766 14,587,883 43,763,650 21,881,825 65,645,476 32,822,738 16,411,369 49,234,108 24,617,054 12,308,527 36,925,582 18,462,791 55,388,374 27,694,187 83,082,562 41,541,281 124,623,844 62,311,922 31,155,961 93,467,884 46,733,942 23,366,971 70,100,914 35,050,457 105,151,372 52,575,686 26,287,843 78,863,530 39,431,765 118,295,296 59,147,648 29,573,824 14,786,912 7,393,456 3,696,728 1,848,364 924,182 462,091 1,386,274 693,137 2,079,412 1,039,706 519,853 1,559,560 779,780 389,890

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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