λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,462,004
47,462,004
22 × 33 × 439463
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 439463
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 123,049,920
Proper Divisor Sum 75,587,916
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #47461993 ← → #47462017

Radix Representation

Decimal 47462004
Binary 10110101000011011001110100 (26 bits)
Octal 0o265033164
Hexadecimal 0x2D43674

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 439,463 878,926 1,318,389 1,757,852 2,636,778 3,955,167 5,273,556 7,910,334 11,865,501 15,820,668 23,731,002 47,462,004

Collatz Trajectory (261 steps to reach 1)

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

47,462,004 23,731,002 11,865,501 35,596,504 17,798,252 8,899,126 4,449,563 13,348,690 6,674,345 20,023,036 10,011,518 5,005,759 15,017,278 7,508,639 22,525,918 11,262,959 33,788,878 16,894,439 50,683,318 25,341,659 76,024,978 38,012,489 114,037,468 57,018,734 28,509,367 85,528,102 42,764,051 128,292,154 64,146,077 192,438,232 96,219,116 48,109,558 24,054,779 72,164,338 36,082,169 108,246,508 54,123,254 27,061,627 81,184,882 40,592,441 121,777,324 60,888,662 30,444,331 91,332,994 45,666,497 136,999,492 68,499,746 34,249,873 102,749,620 51,374,810 25,687,405 77,062,216 38,531,108 19,265,554 9,632,777 28,898,332 14,449,166 7,224,583 21,673,750 10,836,875

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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