17,442,026

2 × 7 × 31 × 40189

17,442,026 factors as 2 × 7 × 31 × 40189. Its 16 positive divisors give a proper-divisor sum of 13,423,894, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2 × 7 × 31 × 40189

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 30,865,920

Proper Divisor Sum 13,423,894

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #17442023 ← → #17442031

Radix Representation

Decimal	17442026
Binary	1000010100010010011101010 (25 bits)
Octal	0o102422352
Hexadecimal	0x10A24EA

Divisor Catalog (16)

1 2 7 14 31 62 217 434 40,189 80,378 281,323 562,646 1,245,859 2,491,718 8,721,013 17,442,026

Collatz Trajectory (182 steps to reach 1)

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

17,442,026 8,721,013 26,163,040 13,081,520 6,540,760 3,270,380 1,635,190 817,595 2,452,786 1,226,393 3,679,180 1,839,590 919,795 2,759,386 1,379,693 4,139,080 2,069,540 1,034,770 517,385 1,552,156 776,078 388,039 1,164,118 582,059 1,746,178 873,089 2,619,268 1,309,634 654,817 1,964,452 982,226 491,113 1,473,340 736,670 368,335 1,105,006 552,503 1,657,510 828,755 2,486,266 1,243,133 3,729,400 1,864,700 932,350 466,175 1,398,526 699,263 2,097,790 1,048,895 3,146,686 1,573,343 4,720,030 2,360,015 7,080,046 3,540,023 10,620,070 5,310,035 15,930,106 7,965,053 23,895,160

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