3,971,198

2 × 7 × 11 × 107 × 241

3,971,198 factors as 2 × 7 × 11 × 107 × 241. Its 32 positive divisors give a proper-divisor sum of 3,555,970, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 107 × 241

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,527,168

Proper Divisor Sum 3,555,970

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3971167 ← → #3971207

Radix Representation

Decimal	3971198
Binary	1111001001100001111110 (22 bits)
Octal	0o17114176
Hexadecimal	0x3C987E

Divisor Catalog (32)

Collatz Trajectory (123 steps to reach 1)

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

3,971,198 1,985,599 5,956,798 2,978,399 8,935,198 4,467,599 13,402,798 6,701,399 20,104,198 10,052,099 30,156,298 15,078,149 45,234,448 22,617,224 11,308,612 5,654,306 2,827,153 8,481,460 4,240,730 2,120,365 6,361,096 3,180,548 1,590,274 795,137 2,385,412 1,192,706 596,353 1,789,060 894,530 447,265 1,341,796 670,898 335,449 1,006,348 503,174 251,587 754,762 377,381 1,132,144 566,072 283,036 141,518 70,759 212,278 106,139 318,418 159,209 477,628 238,814 119,407 358,222 179,111 537,334 268,667 806,002 403,001 1,209,004 604,502 302,251 906,754

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