3,758,545

5 × 7² × 23² × 29

3,758,545 factors as 5 × 7^2 × 23^2 × 29. Its 36 positive divisors give a proper-divisor sum of 1,915,235, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 5 × 7^2 × 23^2 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 5,673,780

Proper Divisor Sum 1,915,235

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3758539 ← → #3758569

Radix Representation

Decimal	3758545
Binary	1110010101100111010001 (22 bits)
Octal	0o16254721
Hexadecimal	0x3959D1

Divisor Catalog (36)

Collatz Trajectory (172 steps to reach 1)

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

3,758,545 11,275,636 5,637,818 2,818,909 8,456,728 4,228,364 2,114,182 1,057,091 3,171,274 1,585,637 4,756,912 2,378,456 1,189,228 594,614 297,307 891,922 445,961 1,337,884 668,942 334,471 1,003,414 501,707 1,505,122 752,561 2,257,684 1,128,842 564,421 1,693,264 846,632 423,316 211,658 105,829 317,488 158,744 79,372 39,686 19,843 59,530 29,765 89,296 44,648 22,324 11,162 5,581 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664

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