3,752,265

3 × 5 × 11 × 22741

3,752,265 factors as 3 × 5 × 11 × 22741. Its 16 positive divisors give a proper-divisor sum of 2,797,431, so this integer is deficient. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 22741

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,549,696

Proper Divisor Sum 2,797,431

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3752261 ← → #3752299

Radix Representation

Decimal	3752265
Binary	1110010100000101001001 (22 bits)
Octal	0o16240511
Hexadecimal	0x394149

Divisor Catalog (16)

1 3 5 11 15 33 55 165 22,741 68,223 113,705 250,151 341,115 750,453 1,250,755 3,752,265

Collatz Trajectory (133 steps to reach 1)

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

3,752,265 11,256,796 5,628,398 2,814,199 8,442,598 4,221,299 12,663,898 6,331,949 18,995,848 9,497,924 4,748,962 2,374,481 7,123,444 3,561,722 1,780,861 5,342,584 2,671,292 1,335,646 667,823 2,003,470 1,001,735 3,005,206 1,502,603 4,507,810 2,253,905 6,761,716 3,380,858 1,690,429 5,071,288 2,535,644 1,267,822 633,911 1,901,734 950,867 2,852,602 1,426,301 4,278,904 2,139,452 1,069,726 534,863 1,604,590 802,295 2,406,886 1,203,443 3,610,330 1,805,165 5,415,496 2,707,748 1,353,874 676,937 2,030,812 1,015,406 507,703 1,523,110 761,555 2,284,666 1,142,333 3,427,000 1,713,500 856,750

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