λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,770,025
57,770,025
3 × 52 × 41 × 18787
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 41 × 18787
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 97,847,904
Proper Divisor Sum 40,077,879
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #57770021 ← → #57770077

Radix Representation

Decimal 57770025
Binary 11011100011000000000101001 (26 bits)
Octal 0o334300051
Hexadecimal 0x3718029

Divisor Catalog (24)

1 3 5 15 25 41 75 123 205 615 1,025 3,075 18,787 56,361 93,935 281,805 469,675 770,267 1,409,025 2,310,801 3,851,335 11,554,005 19,256,675 57,770,025

Collatz Trajectory (269 steps to reach 1)

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

57,770,025 173,310,076 86,655,038 43,327,519 129,982,558 64,991,279 194,973,838 97,486,919 292,460,758 146,230,379 438,691,138 219,345,569 658,036,708 329,018,354 164,509,177 493,527,532 246,763,766 123,381,883 370,145,650 185,072,825 555,218,476 277,609,238 138,804,619 416,413,858 208,206,929 624,620,788 312,310,394 156,155,197 468,465,592 234,232,796 117,116,398 58,558,199 175,674,598 87,837,299 263,511,898 131,755,949 395,267,848 197,633,924 98,816,962 49,408,481 148,225,444 74,112,722 37,056,361 111,169,084 55,584,542 27,792,271 83,376,814 41,688,407 125,065,222 62,532,611 187,597,834 93,798,917 281,396,752 140,698,376 70,349,188 35,174,594 17,587,297 52,761,892 26,380,946 13,190,473

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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