17,840,934

2 × 3² × 31 × 31973

17,840,934 factors as 2 × 3^2 × 31 × 31973. Its 24 positive divisors give a proper-divisor sum of 22,062,618, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 31 × 31973

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 39,903,552

Proper Divisor Sum 22,062,618

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #17840923 ← → #17840941

Radix Representation

Decimal	17840934
Binary	1000100000011101100100110 (25 bits)
Octal	0o104035446
Hexadecimal	0x1103B26

Divisor Catalog (24)

Collatz Trajectory (63 steps to reach 1)

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

17,840,934 8,920,467 26,761,402 13,380,701 40,142,104 20,071,052 10,035,526 5,017,763 15,053,290 7,526,645 22,579,936 11,289,968 5,644,984 2,822,492 1,411,246 705,623 2,116,870 1,058,435 3,175,306 1,587,653 4,762,960 2,381,480 1,190,740 595,370 297,685 893,056 446,528 223,264 111,632 55,816 27,908 13,954 6,977 20,932 10,466 5,233 15,700 7,850 3,925 11,776 5,888 2,944 1,472 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16

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