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Atlas › Integer Profiles › Node 7,906,332

7,906,332

22 × 3 × 7 × 61 × 1543
Abundant Even Composite

7,906,332 factors as 2^2 × 3 × 7 × 61 × 1543. Its 48 positive divisors give a proper-divisor sum of 13,536,740, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 61 × 1543
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,443,072
Proper Divisor Sum 13,536,740
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7906307 ← → #7906361

Radix Representation

Decimal 7906332
Binary 11110001010010000011100 (23 bits)
Octal 0o36122034
Hexadecimal 0x78A41C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 1,281 1,543 1,708 2,562 3,086 4,629 5,124 6,172 9,258 10,801 18,516 21,602 32,403 43,204 64,806 94,123 129,612 188,246 282,369 376,492 564,738 658,861 1,129,476 1,317,722 1,976,583 2,635,444 3,953,166 7,906,332

Collatz Trajectory (93 steps to reach 1)

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

7,906,332 3,953,166 1,976,583 5,929,750 2,964,875 8,894,626 4,447,313 13,341,940 6,670,970 3,335,485 10,006,456 5,003,228 2,501,614 1,250,807 3,752,422 1,876,211 5,628,634 2,814,317 8,442,952 4,221,476 2,110,738 1,055,369 3,166,108 1,583,054 791,527 2,374,582 1,187,291 3,561,874 1,780,937 5,342,812 2,671,406 1,335,703 4,007,110 2,003,555 6,010,666 3,005,333 9,016,000 4,508,000 2,254,000 1,127,000 563,500 281,750 140,875 422,626 211,313 633,940 316,970 158,485 475,456 237,728 118,864 59,432 29,716 14,858 7,429 22,288 11,144 5,572 2,786 1,393

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