λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,462,000
47,462,000
24 × 53 × 19 × 1249
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^3 × 19 × 1249
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 120,900,000
Proper Divisor Sum 73,438,000
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #47461993 ← → #47462017

Radix Representation

Decimal 47462000
Binary 10110101000011011001110000 (26 bits)
Octal 0o265033160
Hexadecimal 0x2D43670

Divisor Catalog (60 of 80)

1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1,000 1,249 1,520 1,900 2,000 2,375 2,498 3,800 4,750 4,996 6,245 7,600 9,500 9,992 12,490 19,000 19,984 23,731 24,980 31,225 38,000 47,462 49,960 62,450 94,924 99,920 118,655 124,900 156,125 189,848 237,310

Collatz Trajectory (261 steps to reach 1)

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

47,462,000 23,731,000 11,865,500 5,932,750 2,966,375 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 #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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