λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,730,878
57,730,878
2 × 32 × 17 × 37 × 5099
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 37 × 5099
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 136,047,600
Proper Divisor Sum 78,316,722
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #57730843 ← → #57730879

Radix Representation

Decimal 57730878
Binary 11011100001110011100111110 (26 bits)
Octal 0o334163476
Hexadecimal 0x370E73E

Divisor Catalog (48)

1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 1,258 1,887 3,774 5,099 5,661 10,198 11,322 15,297 30,594 45,891 86,683 91,782 173,366 188,663 260,049 377,326 520,098 565,989 780,147 1,131,978 1,560,294 1,697,967 3,207,271 3,395,934 6,414,542 9,621,813 19,243,626 28,865,439 57,730,878

Collatz Trajectory (362 steps to reach 1)

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

57,730,878 28,865,439 86,596,318 43,298,159 129,894,478 64,947,239 194,841,718 97,420,859 292,262,578 146,131,289 438,393,868 219,196,934 109,598,467 328,795,402 164,397,701 493,193,104 246,596,552 123,298,276 61,649,138 30,824,569 92,473,708 46,236,854 23,118,427 69,355,282 34,677,641 104,032,924 52,016,462 26,008,231 78,024,694 39,012,347 117,037,042 58,518,521 175,555,564 87,777,782 43,888,891 131,666,674 65,833,337 197,500,012 98,750,006 49,375,003 148,125,010 74,062,505 222,187,516 111,093,758 55,546,879 166,640,638 83,320,319 249,960,958 124,980,479 374,941,438 187,470,719 562,412,158 281,206,079 843,618,238 421,809,119 1,265,427,358 632,713,679 1,898,141,038 949,070,519 2,847,211,558

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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