3,207,971

13 × 23 × 10729

3,207,971 factors as 13 × 23 × 10729. Its 8 positive divisors give a proper-divisor sum of 397,309, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 13 × 23 × 10729

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,605,280

Proper Divisor Sum 397,309

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3207961 ← → #3207983

Radix Representation

Decimal	3207971
Binary	1100001111001100100011 (22 bits)
Octal	0o14171443
Hexadecimal	0x30F323

Divisor Catalog (8)

1 13 23 299 10,729 139,477 246,767 3,207,971

Collatz Trajectory (182 steps to reach 1)

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

3,207,971 9,623,914 4,811,957 14,435,872 7,217,936 3,608,968 1,804,484 902,242 451,121 1,353,364 676,682 338,341 1,015,024 507,512 253,756 126,878 63,439 190,318 95,159 285,478 142,739 428,218 214,109 642,328 321,164 160,582 80,291 240,874 120,437 361,312 180,656 90,328 45,164 22,582 11,291 33,874 16,937 50,812 25,406 12,703 38,110 19,055 57,166 28,583 85,750 42,875 128,626 64,313 192,940 96,470 48,235 144,706 72,353 217,060 108,530 54,265 162,796 81,398 40,699 122,098

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