3,726,593

13 × 173 × 1657

3,726,593 factors as 13 × 173 × 1657. Its 8 positive divisors give a proper-divisor sum of 312,295, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 13 × 173 × 1657

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,038,888

Proper Divisor Sum 312,295

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3726581 ← → #3726599

Radix Representation

Decimal	3726593
Binary	1110001101110100000001 (22 bits)
Octal	0o16156401
Hexadecimal	0x38DD01

Divisor Catalog (8)

1 13 173 1,657 2,249 21,541 286,661 3,726,593

Collatz Trajectory (141 steps to reach 1)

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

3,726,593 11,179,780 5,589,890 2,794,945 8,384,836 4,192,418 2,096,209 6,288,628 3,144,314 1,572,157 4,716,472 2,358,236 1,179,118 589,559 1,768,678 884,339 2,653,018 1,326,509 3,979,528 1,989,764 994,882 497,441 1,492,324 746,162 373,081 1,119,244 559,622 279,811 839,434 419,717 1,259,152 629,576 314,788 157,394 78,697 236,092 118,046 59,023 177,070 88,535 265,606 132,803 398,410 199,205 597,616 298,808 149,404 74,702 37,351 112,054 56,027 168,082 84,041 252,124 126,062 63,031 189,094 94,547 283,642 141,821

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