197,393

7 × 163 × 173

197,393 factors as 7 × 163 × 173. Its 8 positive divisors give a proper-divisor sum of 30,895, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 7 × 163 × 173

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 228,288

Proper Divisor Sum 30,895

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #197389 ← → #197419

Radix Representation

Decimal	197393
Binary	110000001100010001 (18 bits)
Octal	0o601421
Hexadecimal	0x30311

Divisor Catalog (8)

1 7 163 173 1,141 1,211 28,199 197,393

Collatz Trajectory (98 steps to reach 1)

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

197,393 592,180 296,090 148,045 444,136 222,068 111,034 55,517 166,552 83,276 41,638 20,819 62,458 31,229 93,688 46,844 23,422 11,711 35,134 17,567 52,702 26,351 79,054 39,527 118,582 59,291 177,874 88,937 266,812 133,406 66,703 200,110 100,055 300,166 150,083 450,250 225,125 675,376 337,688 168,844 84,422 42,211 126,634 63,317 189,952 94,976 47,488 23,744 11,872 5,936 2,968 1,484 742 371 1,114 557 1,672 836 418 209

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