λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,318,012
61,318,012
22 × 72 × 269 × 1163
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7^2 × 269 × 1163
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 125,397,720
Proper Divisor Sum 64,079,708
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #61318007 ← → #61318021

Radix Representation

Decimal 61318012
Binary 11101001111010001101111100 (26 bits)
Octal 0o351721574
Hexadecimal 0x3A7A37C

Divisor Catalog (36)

1 2 4 7 14 28 49 98 196 269 538 1,076 1,163 1,883 2,326 3,766 4,652 7,532 8,141 13,181 16,282 26,362 32,564 52,724 56,987 113,974 227,948 312,847 625,694 1,251,388 2,189,929 4,379,858 8,759,716 15,329,503 30,659,006 61,318,012

Collatz Trajectory (132 steps to reach 1)

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

61,318,012 30,659,006 15,329,503 45,988,510 22,994,255 68,982,766 34,491,383 103,474,150 51,737,075 155,211,226 77,605,613 232,816,840 116,408,420 58,204,210 29,102,105 87,306,316 43,653,158 21,826,579 65,479,738 32,739,869 98,219,608 49,109,804 24,554,902 12,277,451 36,832,354 18,416,177 55,248,532 27,624,266 13,812,133 41,436,400 20,718,200 10,359,100 5,179,550 2,589,775 7,769,326 3,884,663 11,653,990 5,826,995 17,480,986 8,740,493 26,221,480 13,110,740 6,555,370 3,277,685 9,833,056 4,916,528 2,458,264 1,229,132 614,566 307,283 921,850 460,925 1,382,776 691,388 345,694 172,847 518,542 259,271 777,814 388,907

Active Feeder Network

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

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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