λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,743,361
57,743,361
38 × 13 × 677
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^8 × 13 × 677
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 93,410,772
Proper Divisor Sum 35,667,411
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #57743351 ← → #57743369

Radix Representation

Decimal 57743361
Binary 11011100010001100000000001 (26 bits)
Octal 0o334214001
Hexadecimal 0x3711801

Divisor Catalog (36)

1 3 9 13 27 39 81 117 243 351 677 729 1,053 2,031 2,187 3,159 6,093 6,561 8,801 9,477 18,279 26,403 28,431 54,837 79,209 85,293 164,511 237,627 493,533 712,881 1,480,599 2,138,643 4,441,797 6,415,929 19,247,787 57,743,361

Collatz Trajectory (176 steps to reach 1)

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

57,743,361 173,230,084 86,615,042 43,307,521 129,922,564 64,961,282 32,480,641 97,441,924 48,720,962 24,360,481 73,081,444 36,540,722 18,270,361 54,811,084 27,405,542 13,702,771 41,108,314 20,554,157 61,662,472 30,831,236 15,415,618 7,707,809 23,123,428 11,561,714 5,780,857 17,342,572 8,671,286 4,335,643 13,006,930 6,503,465 19,510,396 9,755,198 4,877,599 14,632,798 7,316,399 21,949,198 10,974,599 32,923,798 16,461,899 49,385,698 24,692,849 74,078,548 37,039,274 18,519,637 55,558,912 27,779,456 13,889,728 6,944,864 3,472,432 1,736,216 868,108 434,054 217,027 651,082 325,541 976,624 488,312 244,156 122,078 61,039

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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