3,731,372

2² × 19 × 29 × 1693

3,731,372 factors as 2^2 × 19 × 29 × 1693. Its 24 positive divisors give a proper-divisor sum of 3,383,428, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 29 × 1693

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,114,800

Proper Divisor Sum 3,383,428

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3731341 ← → #3731393

Radix Representation

Decimal	3731372
Binary	1110001110111110101100 (22 bits)
Octal	0o16167654
Hexadecimal	0x38EFAC

Divisor Catalog (24)

Collatz Trajectory (159 steps to reach 1)

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

3,731,372 1,865,686 932,843 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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