λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,921,892
47,921,892
22 × 3 × 859 × 4649
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 859 × 4649
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 111,972,000
Proper Divisor Sum 64,050,108
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #47921879 ← → #47921893

Radix Representation

Decimal 47921892
Binary 10110110110011101011100100 (26 bits)
Octal 0o266635344
Hexadecimal 0x2DB3AE4

Divisor Catalog (24)

1 2 3 4 6 12 859 1,718 2,577 3,436 4,649 5,154 9,298 10,308 13,947 18,596 27,894 55,788 3,993,491 7,986,982 11,980,473 15,973,964 23,960,946 47,921,892

Collatz Trajectory (168 steps to reach 1)

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

47,921,892 23,960,946 11,980,473 35,941,420 17,970,710 8,985,355 26,956,066 13,478,033 40,434,100 20,217,050 10,108,525 30,325,576 15,162,788 7,581,394 3,790,697 11,372,092 5,686,046 2,843,023 8,529,070 4,264,535 12,793,606 6,396,803 19,190,410 9,595,205 28,785,616 14,392,808 7,196,404 3,598,202 1,799,101 5,397,304 2,698,652 1,349,326 674,663 2,023,990 1,011,995 3,035,986 1,517,993 4,553,980 2,276,990 1,138,495 3,415,486 1,707,743 5,123,230 2,561,615 7,684,846 3,842,423 11,527,270 5,763,635 17,290,906 8,645,453 25,936,360 12,968,180 6,484,090 3,242,045 9,726,136 4,863,068 2,431,534 1,215,767 3,647,302 1,823,651

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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