λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,683,404
47,683,404
22 × 35 × 49057
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^5 × 49057
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 124,999,784
Proper Divisor Sum 77,316,380
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #47683403 ← → #47683409

Radix Representation

Decimal 47683404
Binary 10110101111001011101001100 (26 bits)
Octal 0o265713514
Hexadecimal 0x2D7974C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 49,057 98,114 147,171 196,228 294,342 441,513 588,684 883,026 1,324,539 1,766,052 2,649,078 3,973,617 5,298,156 7,947,234 11,920,851 15,894,468 23,841,702 47,683,404

Collatz Trajectory (217 steps to reach 1)

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

47,683,404 23,841,702 11,920,851 35,762,554 17,881,277 53,643,832 26,821,916 13,410,958 6,705,479 20,116,438 10,058,219 30,174,658 15,087,329 45,261,988 22,630,994 11,315,497 33,946,492 16,973,246 8,486,623 25,459,870 12,729,935 38,189,806 19,094,903 57,284,710 28,642,355 85,927,066 42,963,533 128,890,600 64,445,300 32,222,650 16,111,325 48,333,976 24,166,988 12,083,494 6,041,747 18,125,242 9,062,621 27,187,864 13,593,932 6,796,966 3,398,483 10,195,450 5,097,725 15,293,176 7,646,588 3,823,294 1,911,647 5,734,942 2,867,471 8,602,414 4,301,207 12,903,622 6,451,811 19,355,434 9,677,717 29,033,152 14,516,576 7,258,288 3,629,144 1,814,572

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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