λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,100,518
42,100,518
2 × 3 × 29 × 131 × 1847
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 29 × 131 × 1847
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 87,816,960
Proper Divisor Sum 45,716,442
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #42100501 ← → #42100519

Radix Representation

Decimal 42100518
Binary 10100000100110011100100110 (26 bits)
Octal 0o240463446
Hexadecimal 0x2826726

Divisor Catalog (32)

1 2 3 6 29 58 87 131 174 262 393 786 1,847 3,694 3,799 5,541 7,598 11,082 11,397 22,794 53,563 107,126 160,689 241,957 321,378 483,914 725,871 1,451,742 7,016,753 14,033,506 21,050,259 42,100,518

Collatz Trajectory (341 steps to reach 1)

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

42,100,518 21,050,259 63,150,778 31,575,389 94,726,168 47,363,084 23,681,542 11,840,771 35,522,314 17,761,157 53,283,472 26,641,736 13,320,868 6,660,434 3,330,217 9,990,652 4,995,326 2,497,663 7,492,990 3,746,495 11,239,486 5,619,743 16,859,230 8,429,615 25,288,846 12,644,423 37,933,270 18,966,635 56,899,906 28,449,953 85,349,860 42,674,930 21,337,465 64,012,396 32,006,198 16,003,099 48,009,298 24,004,649 72,013,948 36,006,974 18,003,487 54,010,462 27,005,231 81,015,694 40,507,847 121,523,542 60,761,771 182,285,314 91,142,657 273,427,972 136,713,986 68,356,993 205,070,980 102,535,490 51,267,745 153,803,236 76,901,618 38,450,809 115,352,428 57,676,214

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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