λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,697,792
3,697,792
27 × 7 × 4127
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 7 × 4127
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,421,120
Proper Divisor Sum 4,723,328
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #3697787 ← → #3697843

Radix Representation

Decimal 3697792
Binary 1110000110110010000000 (22 bits)
Octal 0o16066200
Hexadecimal 0x386C80

Divisor Catalog (32)

1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 4,127 8,254 16,508 28,889 33,016 57,778 66,032 115,556 132,064 231,112 264,128 462,224 528,256 924,448 1,848,896 3,697,792

Collatz Trajectory (79 steps to reach 1)

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

3,697,792 1,848,896 924,448 462,224 231,112 115,556 57,778 28,889 86,668 43,334 21,667 65,002 32,501 97,504 48,752 24,376 12,188 6,094 3,047 9,142 4,571 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112

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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