λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,770,075
57,770,075
52 × 11 × 83 × 2531
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 11 × 83 × 2531
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 79,119,936
Proper Divisor Sum 21,349,861
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #57770021 ← → #57770077

Radix Representation

Decimal 57770075
Binary 11011100011000000001011011 (26 bits)
Octal 0o334300133
Hexadecimal 0x371805B

Divisor Catalog (24)

1 5 11 25 55 83 275 415 913 2,075 2,531 4,565 12,655 22,825 27,841 63,275 139,205 210,073 696,025 1,050,365 2,310,803 5,251,825 11,554,015 57,770,075

Collatz Trajectory (238 steps to reach 1)

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

57,770,075 173,310,226 86,655,113 259,965,340 129,982,670 64,991,335 194,974,006 97,487,003 292,461,010 146,230,505 438,691,516 219,345,758 109,672,879 329,018,638 164,509,319 493,527,958 246,763,979 740,291,938 370,145,969 1,110,437,908 555,218,954 277,609,477 832,828,432 416,414,216 208,207,108 104,103,554 52,051,777 156,155,332 78,077,666 39,038,833 117,116,500 58,558,250 29,279,125 87,837,376 43,918,688 21,959,344 10,979,672 5,489,836 2,744,918 1,372,459 4,117,378 2,058,689 6,176,068 3,088,034 1,544,017 4,632,052 2,316,026 1,158,013 3,474,040 1,737,020 868,510 434,255 1,302,766 651,383 1,954,150 977,075 2,931,226 1,465,613 4,396,840 2,198,420

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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