λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,147,262
8,147,262
2 × 3 × 47 × 167 × 173
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 47 × 167 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,837,632
Proper Divisor Sum 8,690,370
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8147261 ← → #8147291

Radix Representation

Decimal 8147262
Binary 11111000101000100111110 (23 bits)
Octal 0o37050476
Hexadecimal 0x7C513E

Divisor Catalog (32)

1 2 3 6 47 94 141 167 173 282 334 346 501 519 1,002 1,038 7,849 8,131 15,698 16,262 23,547 24,393 28,891 47,094 48,786 57,782 86,673 173,346 1,357,877 2,715,754 4,073,631 8,147,262

Collatz Trajectory (168 steps to reach 1)

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

8,147,262 4,073,631 12,220,894 6,110,447 18,331,342 9,165,671 27,497,014 13,748,507 41,245,522 20,622,761 61,868,284 30,934,142 15,467,071 46,401,214 23,200,607 69,601,822 34,800,911 104,402,734 52,201,367 156,604,102 78,302,051 234,906,154 117,453,077 352,359,232 176,179,616 88,089,808 44,044,904 22,022,452 11,011,226 5,505,613 16,516,840 8,258,420 4,129,210 2,064,605 6,193,816 3,096,908 1,548,454 774,227 2,322,682 1,161,341 3,484,024 1,742,012 871,006 435,503 1,306,510 653,255 1,959,766 979,883 2,939,650 1,469,825 4,409,476 2,204,738 1,102,369 3,307,108 1,653,554 826,777 2,480,332 1,240,166 620,083 1,860,250

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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