λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,749,500
57,749,500
22 × 53 × 115499
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^3 × 115499
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 126,126,000
Proper Divisor Sum 68,376,500
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #57749453 ← → #57749501

Radix Representation

Decimal 57749500
Binary 11011100010010111111111100 (26 bits)
Octal 0o334227774
Hexadecimal 0x3712FFC

Divisor Catalog (24)

1 2 4 5 10 20 25 50 100 125 250 500 115,499 230,998 461,996 577,495 1,154,990 2,309,980 2,887,475 5,774,950 11,549,900 14,437,375 28,874,750 57,749,500

Collatz Trajectory (238 steps to reach 1)

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

57,749,500 28,874,750 14,437,375 43,312,126 21,656,063 64,968,190 32,484,095 97,452,286 48,726,143 146,178,430 73,089,215 219,267,646 109,633,823 328,901,470 164,450,735 493,352,206 246,676,103 740,028,310 370,014,155 1,110,042,466 555,021,233 1,665,063,700 832,531,850 416,265,925 1,248,797,776 624,398,888 312,199,444 156,099,722 78,049,861 234,149,584 117,074,792 58,537,396 29,268,698 14,634,349 43,903,048 21,951,524 10,975,762 5,487,881 16,463,644 8,231,822 4,115,911 12,347,734 6,173,867 18,521,602 9,260,801 27,782,404 13,891,202 6,945,601 20,836,804 10,418,402 5,209,201 15,627,604 7,813,802 3,906,901 11,720,704 5,860,352 2,930,176 1,465,088 732,544 366,272

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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