196,238

2 × 7 × 107 × 131

196,238 factors as 2 × 7 × 107 × 131. Its 16 positive divisors give a proper-divisor sum of 145,906, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2 × 7 × 107 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 342,144

Proper Divisor Sum 145,906

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #196201 ← → #196247

Radix Representation

Decimal	196238
Binary	101111111010001110 (18 bits)
Octal	0o577216
Hexadecimal	0x2FE8E

Divisor Catalog (16)

1 2 7 14 107 131 214 262 749 917 1,498 1,834 14,017 28,034 98,119 196,238

Collatz Trajectory (147 steps to reach 1)

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

196,238 98,119 294,358 147,179 441,538 220,769 662,308 331,154 165,577 496,732 248,366 124,183 372,550 186,275 558,826 279,413 838,240 419,120 209,560 104,780 52,390 26,195 78,586 39,293 117,880 58,940 29,470 14,735 44,206 22,103 66,310 33,155 99,466 49,733 149,200 74,600 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472

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