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6,901,236

22 × 32 × 53 × 3617
Abundant Even Composite

6,901,236 factors as 2^2 × 3^2 × 53 × 3617. Its 36 positive divisors give a proper-divisor sum of 10,877,616, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 53 × 3617
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 17,778,852
Proper Divisor Sum 10,877,616
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6901207 ← → #6901241

Radix Representation

Decimal 6901236
Binary 11010010100110111110100 (23 bits)
Octal 0o32246764
Hexadecimal 0x694DF4

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1,908 3,617 7,234 10,851 14,468 21,702 32,553 43,404 65,106 130,212 191,701 383,402 575,103 766,804 1,150,206 1,725,309 2,300,412 3,450,618 6,901,236

Collatz Trajectory (85 steps to reach 1)

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

6,901,236 3,450,618 1,725,309 5,175,928 2,587,964 1,293,982 646,991 1,940,974 970,487 2,911,462 1,455,731 4,367,194 2,183,597 6,550,792 3,275,396 1,637,698 818,849 2,456,548 1,228,274 614,137 1,842,412 921,206 460,603 1,381,810 690,905 2,072,716 1,036,358 518,179 1,554,538 777,269 2,331,808 1,165,904 582,952 291,476 145,738 72,869 218,608 109,304 54,652 27,326 13,663 40,990 20,495 61,486 30,743 92,230 46,115 138,346 69,173 207,520 103,760 51,880 25,940 12,970 6,485 19,456 9,728 4,864 2,432 1,216

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