λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,789,606
57,789,606
2 × 3 × 7 × 79 × 17417
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 79 × 17417
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 133,770,240
Proper Divisor Sum 75,980,634
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #57789601 ← → #57789607

Radix Representation

Decimal 57789606
Binary 11011100011100110010100110 (26 bits)
Octal 0o334346246
Hexadecimal 0x371CCA6

Divisor Catalog (32)

1 2 3 6 7 14 21 42 79 158 237 474 553 1,106 1,659 3,318 17,417 34,834 52,251 104,502 121,919 243,838 365,757 731,514 1,375,943 2,751,886 4,127,829 8,255,658 9,631,601 19,263,202 28,894,803 57,789,606

Collatz Trajectory (238 steps to reach 1)

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

57,789,606 28,894,803 86,684,410 43,342,205 130,026,616 65,013,308 32,506,654 16,253,327 48,759,982 24,379,991 73,139,974 36,569,987 109,709,962 54,854,981 164,564,944 82,282,472 41,141,236 20,570,618 10,285,309 30,855,928 15,427,964 7,713,982 3,856,991 11,570,974 5,785,487 17,356,462 8,678,231 26,034,694 13,017,347 39,052,042 19,526,021 58,578,064 29,289,032 14,644,516 7,322,258 3,661,129 10,983,388 5,491,694 2,745,847 8,237,542 4,118,771 12,356,314 6,178,157 18,534,472 9,267,236 4,633,618 2,316,809 6,950,428 3,475,214 1,737,607 5,212,822 2,606,411 7,819,234 3,909,617 11,728,852 5,864,426 2,932,213 8,796,640 4,398,320 2,199,160

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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