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17,636,628

22 × 3 × 853 × 1723
Abundant Even Composite

17,636,628 factors as 2^2 × 3 × 853 × 1723. Its 24 positive divisors give a proper-divisor sum of 23,587,660, so this integer is abundant. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 853 × 1723
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 41,224,288
Proper Divisor Sum 23,587,660
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #17636627 ← → #17636639

Radix Representation

Decimal 17636628
Binary 1000011010001110100010100 (25 bits)
Octal 0o103216424
Hexadecimal 0x10D1D14

Divisor Catalog (24)

1 2 3 4 6 12 853 1,706 1,723 2,559 3,412 3,446 5,118 5,169 6,892 10,236 10,338 20,676 1,469,719 2,939,438 4,409,157 5,878,876 8,818,314 17,636,628

Collatz Trajectory (138 steps to reach 1)

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

17,636,628 8,818,314 4,409,157 13,227,472 6,613,736 3,306,868 1,653,434 826,717 2,480,152 1,240,076 620,038 310,019 930,058 465,029 1,395,088 697,544 348,772 174,386 87,193 261,580 130,790 65,395 196,186 98,093 294,280 147,140 73,570 36,785 110,356 55,178 27,589 82,768 41,384 20,692 10,346 5,173 15,520 7,760 3,880 1,940 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526

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