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Atlas › Integer Profiles › Node 3,386,016

3,386,016

25 × 33 × 3919
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^3 × 3919
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,878,400
Proper Divisor Sum 6,492,384
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3385997 ← → #3386017

Radix Representation

Decimal 3386016
Binary 1100111010101010100000 (22 bits)
Octal 0o14725240
Hexadecimal 0x33AAA0

Divisor Catalog (48)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 3,919 7,838 11,757 15,676 23,514 31,352 35,271 47,028 62,704 70,542 94,056 105,813 125,408 141,084 188,112 211,626 282,168 376,224 423,252 564,336 846,504 1,128,672 1,693,008 3,386,016

Collatz Trajectory (102 steps to reach 1)

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

3,386,016 1,693,008 846,504 423,252 211,626 105,813 317,440 158,720 79,360 39,680 19,840 9,920 4,960 2,480 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644

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