3,731,373

3³ × 113 × 1223

3,731,373 factors as 3^3 × 113 × 1223. Its 16 positive divisors give a proper-divisor sum of 1,850,067, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 3^3 × 113 × 1223

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,581,440

Proper Divisor Sum 1,850,067

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3731341 ← → #3731393

Radix Representation

Decimal	3731373
Binary	1110001110111110101101 (22 bits)
Octal	0o16167655
Hexadecimal	0x38EFAD

Divisor Catalog (16)

1 3 9 27 113 339 1,017 1,223 3,051 3,669 11,007 33,021 138,199 414,597 1,243,791 3,731,373

Collatz Trajectory (159 steps to reach 1)

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

3,731,373 11,194,120 5,597,060 2,798,530 1,399,265 4,197,796 2,098,898 1,049,449 3,148,348 1,574,174 787,087 2,361,262 1,180,631 3,541,894 1,770,947 5,312,842 2,656,421 7,969,264 3,984,632 1,992,316 996,158 498,079 1,494,238 747,119 2,241,358 1,120,679 3,362,038 1,681,019 5,043,058 2,521,529 7,564,588 3,782,294 1,891,147 5,673,442 2,836,721 8,510,164 4,255,082 2,127,541 6,382,624 3,191,312 1,595,656 797,828 398,914 199,457 598,372 299,186 149,593 448,780 224,390 112,195 336,586 168,293 504,880 252,440 126,220 63,110 31,555 94,666 47,333 142,000

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