7,637,643

3² × 13 × 29 × 2251

7,637,643 factors as 3^2 × 13 × 29 × 2251. Its 24 positive divisors give a proper-divisor sum of 4,658,277, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 29 × 2251

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,295,920

Proper Divisor Sum 4,658,277

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7637629 ← → #7637647

Radix Representation

Decimal	7637643
Binary	11101001000101010001011 (23 bits)
Octal	0o35105213
Hexadecimal	0x748A8B

Divisor Catalog (24)

1 3 9 13 29 39 87 117 261 377 1,131 2,251 3,393 6,753 20,259 29,263 65,279 87,789 195,837 263,367 587,511 848,627 2,545,881 7,637,643

Collatz Trajectory (103 steps to reach 1)

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

7,637,643 22,912,930 11,456,465 34,369,396 17,184,698 8,592,349 25,777,048 12,888,524 6,444,262 3,222,131 9,666,394 4,833,197 14,499,592 7,249,796 3,624,898 1,812,449 5,437,348 2,718,674 1,359,337 4,078,012 2,039,006 1,019,503 3,058,510 1,529,255 4,587,766 2,293,883 6,881,650 3,440,825 10,322,476 5,161,238 2,580,619 7,741,858 3,870,929 11,612,788 5,806,394 2,903,197 8,709,592 4,354,796 2,177,398 1,088,699 3,266,098 1,633,049 4,899,148 2,449,574 1,224,787 3,674,362 1,837,181 5,511,544 2,755,772 1,377,886 688,943 2,066,830 1,033,415 3,100,246 1,550,123 4,650,370 2,325,185 6,975,556 3,487,778 1,743,889

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