3,963,267

3² × 7² × 11 × 19 × 43

3,963,267 factors as 3^2 × 7^2 × 11 × 19 × 43. Its 72 positive divisors give a proper-divisor sum of 3,861,693, so this integer is deficient. The Collatz stopping time is 291 steps.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 11 × 19 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 7,824,960

Proper Divisor Sum 3,861,693

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3963263 ← → #3963269

Radix Representation

Decimal	3963267
Binary	1111000111100110000011 (22 bits)
Octal	0o17074603
Hexadecimal	0x3C7983

Divisor Catalog (60 of 72)

1 3 7 9 11 19 21 33 43 49 57 63 77 99 129 133 147 171 209 231 301 387 399 441 473 539 627 693 817 903 931 1,197 1,419 1,463 1,617 1,881 2,107 2,451 2,709 2,793 3,311 4,257 4,389 4,851 5,719 6,321 7,353 8,379 8,987 9,933 10,241 13,167 17,157 18,963 23,177 26,961 29,799 30,723 40,033 51,471

Collatz Trajectory (291 steps to reach 1)

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

3,963,267 11,889,802 5,944,901 17,834,704 8,917,352 4,458,676 2,229,338 1,114,669 3,344,008 1,672,004 836,002 418,001 1,254,004 627,002 313,501 940,504 470,252 235,126 117,563 352,690 176,345 529,036 264,518 132,259 396,778 198,389 595,168 297,584 148,792 74,396 37,198 18,599 55,798 27,899 83,698 41,849 125,548 62,774 31,387 94,162 47,081 141,244 70,622 35,311 105,934 52,967 158,902 79,451 238,354 119,177 357,532 178,766 89,383 268,150 134,075 402,226 201,113 603,340 301,670 150,835

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