λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,789,602
57,789,602
2 × 13 × 192 × 47 × 131
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 19^2 × 47 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 101,388,672
Proper Divisor Sum 43,599,070
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #57789601 ← → #57789607

Radix Representation

Decimal 57789602
Binary 11011100011100110010100010 (26 bits)
Octal 0o334346242
Hexadecimal 0x371CCA2

Divisor Catalog (48)

1 2 13 19 26 38 47 94 131 247 262 361 494 611 722 893 1,222 1,703 1,786 2,489 3,406 4,693 4,978 6,157 9,386 11,609 12,314 16,967 23,218 32,357 33,934 47,291 64,714 80,041 94,582 116,983 160,082 220,571 233,966 441,142 614,783 1,229,566 1,520,779 2,222,677 3,041,558 4,445,354 28,894,801 57,789,602

Collatz Trajectory (238 steps to reach 1)

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

57,789,602 28,894,801 86,684,404 43,342,202 21,671,101 65,013,304 32,506,652 16,253,326 8,126,663 24,379,990 12,189,995 36,569,986 18,284,993 54,854,980 27,427,490 13,713,745 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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