λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,782,870
13,782,870
2 × 32 × 5 × 37 × 4139
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 37 × 4139
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 36,812,880
Proper Divisor Sum 23,030,010
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #13782863 ← → #13782877

Radix Representation

Decimal 13782870
Binary 110100100100111101010110 (24 bits)
Octal 0o64447526
Hexadecimal 0xD24F56

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1,110 1,665 3,330 4,139 8,278 12,417 20,695 24,834 37,251 41,390 62,085 74,502 124,170 153,143 186,255 306,286 372,510 459,429 765,715 918,858 1,378,287 1,531,430 2,297,145 2,756,574 4,594,290 6,891,435 13,782,870

Collatz Trajectory (161 steps to reach 1)

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

13,782,870 6,891,435 20,674,306 10,337,153 31,011,460 15,505,730 7,752,865 23,258,596 11,629,298 5,814,649 17,443,948 8,721,974 4,360,987 13,082,962 6,541,481 19,624,444 9,812,222 4,906,111 14,718,334 7,359,167 22,077,502 11,038,751 33,116,254 16,558,127 49,674,382 24,837,191 74,511,574 37,255,787 111,767,362 55,883,681 167,651,044 83,825,522 41,912,761 125,738,284 62,869,142 31,434,571 94,303,714 47,151,857 141,455,572 70,727,786 35,363,893 106,091,680 53,045,840 26,522,920 13,261,460 6,630,730 3,315,365 9,946,096 4,973,048 2,486,524 1,243,262 621,631 1,864,894 932,447 2,797,342 1,398,671 4,196,014 2,098,007 6,294,022 3,147,011

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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