196,343

7² × 4007

196,343 factors as 7^2 × 4007. Its 6 positive divisors give a proper-divisor sum of 32,113, so this integer is deficient. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 7^2 × 4007

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 228,456

Proper Divisor Sum 32,113

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #196337 ← → #196379

Radix Representation

Decimal	196343
Binary	101111111011110111 (18 bits)
Octal	0o577367
Hexadecimal	0x2FEF7

Divisor Catalog (6)

1 7 49 4,007 28,049 196,343

Collatz Trajectory (72 steps to reach 1)

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

196,343 589,030 294,515 883,546 441,773 1,325,320 662,660 331,330 165,665 496,996 248,498 124,249 372,748 186,374 93,187 279,562 139,781 419,344 209,672 104,836 52,418 26,209 78,628 39,314 19,657 58,972 29,486 14,743 44,230 22,115 66,346 33,173 99,520 49,760 24,880 12,440 6,220 3,110 1,555 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208

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