17,829,909

3³ × 660367

17,829,909 factors as 3^3 × 660367. Its 8 positive divisors give a proper-divisor sum of 8,584,811, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 3^3 × 660367

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 26,414,720

Proper Divisor Sum 8,584,811

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #17829881 ← → #17829913

Radix Representation

Decimal	17829909
Binary	1000100000001000000010101 (25 bits)
Octal	0o104010025
Hexadecimal	0x1101015

Divisor Catalog (8)

1 3 9 27 660,367 1,981,101 5,943,303 17,829,909

Collatz Trajectory (89 steps to reach 1)

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

17,829,909 53,489,728 26,744,864 13,372,432 6,686,216 3,343,108 1,671,554 835,777 2,507,332 1,253,666 626,833 1,880,500 940,250 470,125 1,410,376 705,188 352,594 176,297 528,892 264,446 132,223 396,670 198,335 595,006 297,503 892,510 446,255 1,338,766 669,383 2,008,150 1,004,075 3,012,226 1,506,113 4,518,340 2,259,170 1,129,585 3,388,756 1,694,378 847,189 2,541,568 1,270,784 635,392 317,696 158,848 79,424 39,712 19,856 9,928 4,964 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524

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