λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,900,520
3,900,520
23 × 5 × 132 × 577
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 13^2 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,519,660
Proper Divisor Sum 5,619,140
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3900517 ← → #3900563

Radix Representation

Decimal 3900520
Binary 1110111000010001101000 (22 bits)
Octal 0o16702150
Hexadecimal 0x3B8468

Divisor Catalog (48)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 577 676 845 1,154 1,352 1,690 2,308 2,885 3,380 4,616 5,770 6,760 7,501 11,540 15,002 23,080 30,004 37,505 60,008 75,010 97,513 150,020 195,026 300,040 390,052 487,565 780,104 975,130 1,950,260 3,900,520

Collatz Trajectory (185 steps to reach 1)

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

3,900,520 1,950,260 975,130 487,565 1,462,696 731,348 365,674 182,837 548,512 274,256 137,128 68,564 34,282 17,141 51,424 25,712 12,856 6,428 3,214 1,607 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138

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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