λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,639,186
48,639,186
2 × 32 × 31 × 67 × 1301
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 31 × 67 × 1301
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 110,492,928
Proper Divisor Sum 61,853,742
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #48639169 ← → #48639191

Radix Representation

Decimal 48639186
Binary 10111001100010110011010010 (26 bits)
Octal 0o271426322
Hexadecimal 0x2E62CD2

Divisor Catalog (48)

1 2 3 6 9 18 31 62 67 93 134 186 201 279 402 558 603 1,206 1,301 2,077 2,602 3,903 4,154 6,231 7,806 11,709 12,462 18,693 23,418 37,386 40,331 80,662 87,167 120,993 174,334 241,986 261,501 362,979 523,002 725,958 784,503 1,569,006 2,702,177 5,404,354 8,106,531 16,213,062 24,319,593 48,639,186

Collatz Trajectory (137 steps to reach 1)

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

48,639,186 24,319,593 72,958,780 36,479,390 18,239,695 54,719,086 27,359,543 82,078,630 41,039,315 123,117,946 61,558,973 184,676,920 92,338,460 46,169,230 23,084,615 69,253,846 34,626,923 103,880,770 51,940,385 155,821,156 77,910,578 38,955,289 116,865,868 58,432,934 29,216,467 87,649,402 43,824,701 131,474,104 65,737,052 32,868,526 16,434,263 49,302,790 24,651,395 73,954,186 36,977,093 110,931,280 55,465,640 27,732,820 13,866,410 6,933,205 20,799,616 10,399,808 5,199,904 2,599,952 1,299,976 649,988 324,994 162,497 487,492 243,746 121,873 365,620 182,810 91,405 274,216 137,108 68,554 34,277 102,832 51,416

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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