λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,012,132
42,012,132
22 × 3 × 479 × 7309
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 479 × 7309
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 98,246,400
Proper Divisor Sum 56,234,268
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #42012127 ← → #42012133

Radix Representation

Decimal 42012132
Binary 10100000010000110111100100 (26 bits)
Octal 0o240206744
Hexadecimal 0x2810DE4

Divisor Catalog (24)

1 2 3 4 6 12 479 958 1,437 1,916 2,874 5,748 7,309 14,618 21,927 29,236 43,854 87,708 3,501,011 7,002,022 10,503,033 14,004,044 21,006,066 42,012,132

Collatz Trajectory (178 steps to reach 1)

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

42,012,132 21,006,066 10,503,033 31,509,100 15,754,550 7,877,275 23,631,826 11,815,913 35,447,740 17,723,870 8,861,935 26,585,806 13,292,903 39,878,710 19,939,355 59,818,066 29,909,033 89,727,100 44,863,550 22,431,775 67,295,326 33,647,663 100,942,990 50,471,495 151,414,486 75,707,243 227,121,730 113,560,865 340,682,596 170,341,298 85,170,649 255,511,948 127,755,974 63,877,987 191,633,962 95,816,981 287,450,944 143,725,472 71,862,736 35,931,368 17,965,684 8,982,842 4,491,421 13,474,264 6,737,132 3,368,566 1,684,283 5,052,850 2,526,425 7,579,276 3,789,638 1,894,819 5,684,458 2,842,229 8,526,688 4,263,344 2,131,672 1,065,836 532,918 266,459

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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