λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,698,174
4,698,174
2 × 3 × 13 × 29 × 31 × 67
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 13 × 29 × 31 × 67
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,967,040
Proper Divisor Sum 6,268,866
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4698173 ← → #4698179

Radix Representation

Decimal 4698174
Binary 10001111011000000111110 (23 bits)
Octal 0o21730076
Hexadecimal 0x47B03E

Divisor Catalog (60 of 64)

1 2 3 6 13 26 29 31 39 58 62 67 78 87 93 134 174 186 201 377 402 403 754 806 871 899 1,131 1,209 1,742 1,798 1,943 2,077 2,262 2,418 2,613 2,697 3,886 4,154 5,226 5,394 5,829 6,231 11,658 11,687 12,462 23,374 25,259 27,001 35,061 50,518 54,002 60,233 70,122 75,777 81,003 120,466 151,554 162,006 180,699 361,398

Collatz Trajectory (299 steps to reach 1)

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

4,698,174 2,349,087 7,047,262 3,523,631 10,570,894 5,285,447 15,856,342 7,928,171 23,784,514 11,892,257 35,676,772 17,838,386 8,919,193 26,757,580 13,378,790 6,689,395 20,068,186 10,034,093 30,102,280 15,051,140 7,525,570 3,762,785 11,288,356 5,644,178 2,822,089 8,466,268 4,233,134 2,116,567 6,349,702 3,174,851 9,524,554 4,762,277 14,286,832 7,143,416 3,571,708 1,785,854 892,927 2,678,782 1,339,391 4,018,174 2,009,087 6,027,262 3,013,631 9,040,894 4,520,447 13,561,342 6,780,671 20,342,014 10,171,007 30,513,022 15,256,511 45,769,534 22,884,767 68,654,302 34,327,151 102,981,454 51,490,727 154,472,182 77,236,091 231,708,274

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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