λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,698,100
13,698,100
22 × 52 × 13 × 41 × 257
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 13 × 41 × 257
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 32,919,768
Proper Divisor Sum 19,221,668
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #13698067 ← → #13698109

Radix Representation

Decimal 13698100
Binary 110100010000010000110100 (24 bits)
Octal 0o64202064
Hexadecimal 0xD10434

Divisor Catalog (60 of 72)

1 2 4 5 10 13 20 25 26 41 50 52 65 82 100 130 164 205 257 260 325 410 514 533 650 820 1,025 1,028 1,066 1,285 1,300 2,050 2,132 2,570 2,665 3,341 4,100 5,140 5,330 6,425 6,682 10,537 10,660 12,850 13,325 13,364 16,705 21,074 25,700 26,650 33,410 42,148 52,685 53,300 66,820 83,525 105,370 136,981 167,050 210,740

Collatz Trajectory (223 steps to reach 1)

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

13,698,100 6,849,050 3,424,525 10,273,576 5,136,788 2,568,394 1,284,197 3,852,592 1,926,296 963,148 481,574 240,787 722,362 361,181 1,083,544 541,772 270,886 135,443 406,330 203,165 609,496 304,748 152,374 76,187 228,562 114,281 342,844 171,422 85,711 257,134 128,567 385,702 192,851 578,554 289,277 867,832 433,916 216,958 108,479 325,438 162,719 488,158 244,079 732,238 366,119 1,098,358 549,179 1,647,538 823,769 2,471,308 1,235,654 617,827 1,853,482 926,741 2,780,224 1,390,112 695,056 347,528 173,764 86,882

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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