3,787,443

3² × 11 × 67 × 571

3,787,443 has digital root 9. The neighboring primes are 3787417 and 3787471; its proper-divisor sum differs from the starting integer by -1,507,110.

Prime Factor Structure

Factorization String 3^2 × 11 × 67 × 571

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,067,776

Proper Divisor Sum 2,280,333

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3787417 ← → #3787471

Radix Representation

Decimal	3787443
Binary	1110011100101010110011 (22 bits)
Octal	0o16345263
Hexadecimal	0x39CAB3

Divisor Catalog (24)

1 3 9 11 33 67 99 201 571 603 737 1,713 2,211 5,139 6,281 6,633 18,843 38,257 56,529 114,771 344,313 420,827 1,262,481 3,787,443

Collatz Trajectory (102 steps to reach 1)

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

3,787,443 11,362,330 5,681,165 17,043,496 8,521,748 4,260,874 2,130,437 6,391,312 3,195,656 1,597,828 798,914 399,457 1,198,372 599,186 299,593 898,780 449,390 224,695 674,086 337,043 1,011,130 505,565 1,516,696 758,348 379,174 189,587 568,762 284,381 853,144 426,572 213,286 106,643 319,930 159,965 479,896 239,948 119,974 59,987 179,962 89,981 269,944 134,972 67,486 33,743 101,230 50,615 151,846 75,923 227,770 113,885 341,656 170,828 85,414 42,707 128,122 64,061 192,184 96,092 48,046 24,023

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