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Atlas › Integer Profiles › Node 6,934,872

6,934,872

23 × 3 × 72 × 5897
Abundant Even Composite

6,934,872 factors as 2^3 × 3 × 7^2 × 5897. Its 48 positive divisors give a proper-divisor sum of 13,236,288, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7^2 × 5897
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,171,160
Proper Divisor Sum 13,236,288
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6934871 ← → #6934901

Radix Representation

Decimal 6934872
Binary 11010011101000101011000 (23 bits)
Octal 0o32350530
Hexadecimal 0x69D158

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1,176 5,897 11,794 17,691 23,588 35,382 41,279 47,176 70,764 82,558 123,837 141,528 165,116 247,674 288,953 330,232 495,348 577,906 866,859 990,696 1,155,812 1,733,718 2,311,624 3,467,436 6,934,872

Collatz Trajectory (191 steps to reach 1)

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

6,934,872 3,467,436 1,733,718 866,859 2,600,578 1,300,289 3,900,868 1,950,434 975,217 2,925,652 1,462,826 731,413 2,194,240 1,097,120 548,560 274,280 137,140 68,570 34,285 102,856 51,428 25,714 12,857 38,572 19,286 9,643 28,930 14,465 43,396 21,698 10,849 32,548 16,274 8,137 24,412 12,206 6,103 18,310 9,155 27,466 13,733 41,200 20,600 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223

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