359,593

13 × 139 × 199

359,593 factors as 13 × 139 × 199. Its 8 positive divisors give a proper-divisor sum of 32,407, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 13 × 139 × 199

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 392,000

Proper Divisor Sum 32,407

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #359587 ← → #359599

Radix Representation

Decimal	359593
Binary	1010111110010101001 (19 bits)
Octal	0o1276251
Hexadecimal	0x57CA9

Divisor Catalog (8)

1 13 139 199 1,807 2,587 27,661 359,593

Collatz Trajectory (210 steps to reach 1)

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

359,593 1,078,780 539,390 269,695 809,086 404,543 1,213,630 606,815 1,820,446 910,223 2,730,670 1,365,335 4,096,006 2,048,003 6,144,010 3,072,005 9,216,016 4,608,008 2,304,004 1,152,002 576,001 1,728,004 864,002 432,001 1,296,004 648,002 324,001 972,004 486,002 243,001 729,004 364,502 182,251 546,754 273,377 820,132 410,066 205,033 615,100 307,550 153,775 461,326 230,663 691,990 345,995 1,037,986 518,993 1,556,980 778,490 389,245 1,167,736 583,868 291,934 145,967 437,902 218,951 656,854 328,427 985,282 492,641

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