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Atlas › Integer Profiles › Node 17,788,706

17,788,706

2 × 13 × 23 × 151 × 197
Deficient Even Composite

17,788,706 factors as 2 × 13 × 23 × 151 × 197. Its 32 positive divisors give a proper-divisor sum of 12,548,062, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2 × 13 × 23 × 151 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,336,768
Proper Divisor Sum 12,548,062
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #17788703 ← → #17788709

Radix Representation

Decimal 17788706
Binary 1000011110110111100100010 (25 bits)
Octal 0o103667442
Hexadecimal 0x10F6F22

Divisor Catalog (32)

1 2 13 23 26 46 151 197 299 302 394 598 1,963 2,561 3,473 3,926 4,531 5,122 6,946 9,062 29,747 45,149 58,903 59,494 90,298 117,806 386,711 684,181 773,422 1,368,362 8,894,353 17,788,706

Collatz Trajectory (143 steps to reach 1)

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

17,788,706 8,894,353 26,683,060 13,341,530 6,670,765 20,012,296 10,006,148 5,003,074 2,501,537 7,504,612 3,752,306 1,876,153 5,628,460 2,814,230 1,407,115 4,221,346 2,110,673 6,332,020 3,166,010 1,583,005 4,749,016 2,374,508 1,187,254 593,627 1,780,882 890,441 2,671,324 1,335,662 667,831 2,003,494 1,001,747 3,005,242 1,502,621 4,507,864 2,253,932 1,126,966 563,483 1,690,450 845,225 2,535,676 1,267,838 633,919 1,901,758 950,879 2,852,638 1,426,319 4,278,958 2,139,479 6,418,438 3,209,219 9,627,658 4,813,829 14,441,488 7,220,744 3,610,372 1,805,186 902,593 2,707,780 1,353,890 676,945

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