3,801,317

13² × 83 × 271

3,801,317 factors as 13^2 × 83 × 271. Its 12 positive divisors give a proper-divisor sum of 379,867, so this integer is deficient. The Collatz stopping time is 247 steps.

Prime Factor Structure

Factorization String 13^2 × 83 × 271

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,181,184

Proper Divisor Sum 379,867

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3801299 ← → #3801331

Radix Representation

Decimal	3801317
Binary	1110100000000011100101 (22 bits)
Octal	0o16400345
Hexadecimal	0x3A00E5

Divisor Catalog (12)

1 13 83 169 271 1,079 3,523 14,027 22,493 45,799 292,409 3,801,317

Collatz Trajectory (247 steps to reach 1)

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

3,801,317 11,403,952 5,701,976 2,850,988 1,425,494 712,747 2,138,242 1,069,121 3,207,364 1,603,682 801,841 2,405,524 1,202,762 601,381 1,804,144 902,072 451,036 225,518 112,759 338,278 169,139 507,418 253,709 761,128 380,564 190,282 95,141 285,424 142,712 71,356 35,678 17,839 53,518 26,759 80,278 40,139 120,418 60,209 180,628 90,314 45,157 135,472 67,736 33,868 16,934 8,467 25,402 12,701 38,104 19,052 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118

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