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Atlas › Integer Profiles › Node 3,736,152

3,736,152

23 × 33 × 72 × 353
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 7^2 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 12,106,800
Proper Divisor Sum 8,370,648
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3736133 ← → #3736153

Radix Representation

Decimal 3736152
Binary 1110010000001001011000 (22 bits)
Octal 0o16201130
Hexadecimal 0x390258

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 353 378 392 441 504 588 706 756 882 1,059 1,176 1,323 1,412 1,512 1,764 2,118 2,471 2,646 2,824 3,177 3,528 4,236 4,942 5,292 6,354 7,413 8,472

Collatz Trajectory (53 steps to reach 1)

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

3,736,152 1,868,076 934,038 467,019 1,401,058 700,529 2,101,588 1,050,794 525,397 1,576,192 788,096 394,048 197,024 98,512 49,256 24,628 12,314 6,157 18,472 9,236 4,618 2,309 6,928 3,464 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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