λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,901,600
3,901,600
25 × 52 × 4877
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5^2 × 4877
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 9,526,734
Proper Divisor Sum 5,625,134
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3901589 ← → #3901609

Radix Representation

Decimal 3901600
Binary 1110111000100010100000 (22 bits)
Octal 0o16704240
Hexadecimal 0x3B88A0

Divisor Catalog (36)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 4,877 9,754 19,508 24,385 39,016 48,770 78,032 97,540 121,925 156,064 195,080 243,850 390,160 487,700 780,320 975,400 1,950,800 3,901,600

Collatz Trajectory (185 steps to reach 1)

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

3,901,600 1,950,800 975,400 487,700 243,850 121,925 365,776 182,888 91,444 45,722 22,861 68,584 34,292 17,146 8,573 25,720 12,860 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 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 #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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