42,633,790

2 × 5 × 17 × 250787

42,633,790 factors as 2 × 5 × 17 × 250787. Its 16 positive divisors give a proper-divisor sum of 38,621,522, so this integer is deficient. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 250787

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 81,255,312

Proper Divisor Sum 38,621,522

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #42633781 ← → #42633803

Radix Representation

Decimal	42633790
Binary	10100010101000101000111110 (26 bits)
Octal	0o242505076
Hexadecimal	0x28A8A3E

Divisor Catalog (16)

1 2 5 10 17 34 85 170 250,787 501,574 1,253,935 2,507,870 4,263,379 8,526,758 21,316,895 42,633,790

Collatz Trajectory (235 steps to reach 1)

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

42,633,790 21,316,895 63,950,686 31,975,343 95,926,030 47,963,015 143,889,046 71,944,523 215,833,570 107,916,785 323,750,356 161,875,178 80,937,589 242,812,768 121,406,384 60,703,192 30,351,596 15,175,798 7,587,899 22,763,698 11,381,849 34,145,548 17,072,774 8,536,387 25,609,162 12,804,581 38,413,744 19,206,872 9,603,436 4,801,718 2,400,859 7,202,578 3,601,289 10,803,868 5,401,934 2,700,967 8,102,902 4,051,451 12,154,354 6,077,177 18,231,532 9,115,766 4,557,883 13,673,650 6,836,825 20,510,476 10,255,238 5,127,619 15,382,858 7,691,429 23,074,288 11,537,144 5,768,572 2,884,286 1,442,143 4,326,430 2,163,215 6,489,646 3,244,823 9,734,470

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