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Atlas › Integer Profiles › Node 6,974,396

6,974,396

22 × 11 × 13 × 89 × 137
Abundant Even Composite

6,974,396 factors as 2^2 × 11 × 13 × 89 × 137. Its 48 positive divisors give a proper-divisor sum of 7,631,524, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 89 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,605,920
Proper Divisor Sum 7,631,524
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #6974371 ← → #6974399

Radix Representation

Decimal 6974396
Binary 11010100110101110111100 (23 bits)
Octal 0o32465674
Hexadecimal 0x6A6BBC

Divisor Catalog (48)

1 2 4 11 13 22 26 44 52 89 137 143 178 274 286 356 548 572 979 1,157 1,507 1,781 1,958 2,314 3,014 3,562 3,916 4,628 6,028 7,124 12,193 12,727 19,591 24,386 25,454 39,182 48,772 50,908 78,364 134,123 158,509 268,246 317,018 536,492 634,036 1,743,599 3,487,198 6,974,396

Collatz Trajectory (222 steps to reach 1)

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

6,974,396 3,487,198 1,743,599 5,230,798 2,615,399 7,846,198 3,923,099 11,769,298 5,884,649 17,653,948 8,826,974 4,413,487 13,240,462 6,620,231 19,860,694 9,930,347 29,791,042 14,895,521 44,686,564 22,343,282 11,171,641 33,514,924 16,757,462 8,378,731 25,136,194 12,568,097 37,704,292 18,852,146 9,426,073 28,278,220 14,139,110 7,069,555 21,208,666 10,604,333 31,813,000 15,906,500 7,953,250 3,976,625 11,929,876 5,964,938 2,982,469 8,947,408 4,473,704 2,236,852 1,118,426 559,213 1,677,640 838,820 419,410 209,705 629,116 314,558 157,279 471,838 235,919 707,758 353,879 1,061,638 530,819 1,592,458

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