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Atlas › Integer Profiles › Node 3,962,016

3,962,016

25 × 32 × 13757
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 13757
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,267,802
Proper Divisor Sum 7,305,786
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3961987 ← → #3962029

Radix Representation

Decimal 3962016
Binary 1111000111010010100000 (22 bits)
Octal 0o17072240
Hexadecimal 0x3C74A0

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 13,757 27,514 41,271 55,028 82,542 110,056 123,813 165,084 220,112 247,626 330,168 440,224 495,252 660,336 990,504 1,320,672 1,981,008 3,962,016

Collatz Trajectory (185 steps to reach 1)

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

3,962,016 1,981,008 990,504 495,252 247,626 123,813 371,440 185,720 92,860 46,430 23,215 69,646 34,823 104,470 52,235 156,706 78,353 235,060 117,530 58,765 176,296 88,148 44,074 22,037 66,112 33,056 16,528 8,264 4,132 2,066 1,033 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210

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