λ
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Atlas › Integer Profiles › Node 6,705,192

6,705,192

23 × 3 × 13 × 21491
Abundant Even Composite

6,705,192 factors as 2^3 × 3 × 13 × 21491. Its 32 positive divisors give a proper-divisor sum of 11,348,088, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 21491
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,053,280
Proper Divisor Sum 11,348,088
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6705163 ← → #6705211

Radix Representation

Decimal 6705192
Binary 11001100101000000101000 (23 bits)
Octal 0o31450050
Hexadecimal 0x665028

Divisor Catalog (32)

1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 21,491 42,982 64,473 85,964 128,946 171,928 257,892 279,383 515,784 558,766 838,149 1,117,532 1,676,298 2,235,064 3,352,596 6,705,192

Collatz Trajectory (116 steps to reach 1)

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

6,705,192 3,352,596 1,676,298 838,149 2,514,448 1,257,224 628,612 314,306 157,153 471,460 235,730 117,865 353,596 176,798 88,399 265,198 132,599 397,798 198,899 596,698 298,349 895,048 447,524 223,762 111,881 335,644 167,822 83,911 251,734 125,867 377,602 188,801 566,404 283,202 141,601 424,804 212,402 106,201 318,604 159,302 79,651 238,954 119,477 358,432 179,216 89,608 44,804 22,402 11,201 33,604 16,802 8,401 25,204 12,602 6,301 18,904 9,452 4,726 2,363 7,090

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