λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,737,340
1,737,340
22 × 5 × 11 × 53 × 149
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 53 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,082,400
Proper Divisor Sum 2,345,060
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1737331 ← → #1737371

Radix Representation

Decimal 1737340
Binary 110101000001001111100 (21 bits)
Octal 0o6501174
Hexadecimal 0x1A827C

Divisor Catalog (48)

1 2 4 5 10 11 20 22 44 53 55 106 110 149 212 220 265 298 530 583 596 745 1,060 1,166 1,490 1,639 2,332 2,915 2,980 3,278 5,830 6,556 7,897 8,195 11,660 15,794 16,390 31,588 32,780 39,485 78,970 86,867 157,940 173,734 347,468 434,335 868,670 1,737,340

Collatz Trajectory (251 steps to reach 1)

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

1,737,340 868,670 434,335 1,303,006 651,503 1,954,510 977,255 2,931,766 1,465,883 4,397,650 2,198,825 6,596,476 3,298,238 1,649,119 4,947,358 2,473,679 7,421,038 3,710,519 11,131,558 5,565,779 16,697,338 8,348,669 25,046,008 12,523,004 6,261,502 3,130,751 9,392,254 4,696,127 14,088,382 7,044,191 21,132,574 10,566,287 31,698,862 15,849,431 47,548,294 23,774,147 71,322,442 35,661,221 106,983,664 53,491,832 26,745,916 13,372,958 6,686,479 20,059,438 10,029,719 30,089,158 15,044,579 45,133,738 22,566,869 67,700,608 33,850,304 16,925,152 8,462,576 4,231,288 2,115,644 1,057,822 528,911 1,586,734 793,367 2,380,102

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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