λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,337,294
8,337,294
2 × 32 × 7 × 66169
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 66169
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,645,040
Proper Divisor Sum 12,307,746
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8337289 ← → #8337319

Radix Representation

Decimal 8337294
Binary 11111110011011110001110 (23 bits)
Octal 0o37633616
Hexadecimal 0x7F378E

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 66,169 132,338 198,507 397,014 463,183 595,521 926,366 1,191,042 1,389,549 2,779,098 4,168,647 8,337,294

Collatz Trajectory (230 steps to reach 1)

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

8,337,294 4,168,647 12,505,942 6,252,971 18,758,914 9,379,457 28,138,372 14,069,186 7,034,593 21,103,780 10,551,890 5,275,945 15,827,836 7,913,918 3,956,959 11,870,878 5,935,439 17,806,318 8,903,159 26,709,478 13,354,739 40,064,218 20,032,109 60,096,328 30,048,164 15,024,082 7,512,041 22,536,124 11,268,062 5,634,031 16,902,094 8,451,047 25,353,142 12,676,571 38,029,714 19,014,857 57,044,572 28,522,286 14,261,143 42,783,430 21,391,715 64,175,146 32,087,573 96,262,720 48,131,360 24,065,680 12,032,840 6,016,420 3,008,210 1,504,105 4,512,316 2,256,158 1,128,079 3,384,238 1,692,119 5,076,358 2,538,179 7,614,538 3,807,269 11,421,808

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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