λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,746,643
57,746,643
3 × 192 × 71 × 751
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 19^2 × 71 × 751
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 82,515,456
Proper Divisor Sum 24,768,813
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #57746639 ← → #57746651

Radix Representation

Decimal 57746643
Binary 11011100010010010011010011 (26 bits)
Octal 0o334222323
Hexadecimal 0x37124D3

Divisor Catalog (24)

1 3 19 57 71 213 361 751 1,083 1,349 2,253 4,047 14,269 25,631 42,807 53,321 76,893 159,963 271,111 813,333 1,013,099 3,039,297 19,248,881 57,746,643

Collatz Trajectory (176 steps to reach 1)

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

57,746,643 173,239,930 86,619,965 259,859,896 129,929,948 64,964,974 32,482,487 97,447,462 48,723,731 146,171,194 73,085,597 219,256,792 109,628,396 54,814,198 27,407,099 82,221,298 41,110,649 123,331,948 61,665,974 30,832,987 92,498,962 46,249,481 138,748,444 69,374,222 34,687,111 104,061,334 52,030,667 156,092,002 78,046,001 234,138,004 117,069,002 58,534,501 175,603,504 87,801,752 43,900,876 21,950,438 10,975,219 32,925,658 16,462,829 49,388,488 24,694,244 12,347,122 6,173,561 18,520,684 9,260,342 4,630,171 13,890,514 6,945,257 20,835,772 10,417,886 5,208,943 15,626,830 7,813,415 23,440,246 11,720,123 35,160,370 17,580,185 52,740,556 26,370,278 13,185,139

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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