7,687,629

3⁴ × 107 × 887

7,687,629 has the prime decomposition 3^4 × 107 × 887. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 107 × 887

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 11,604,384

Proper Divisor Sum 3,916,755

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7687627 ← → #7687637

Radix Representation

Decimal	7687629
Binary	11101010100110111001101 (23 bits)
Octal	0o35246715
Hexadecimal	0x754DCD

Divisor Catalog (20)

1 3 9 27 81 107 321 887 963 2,661 2,889 7,983 8,667 23,949 71,847 94,909 284,727 854,181 2,562,543 7,687,629

Collatz Trajectory (173 steps to reach 1)

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

7,687,629 23,062,888 11,531,444 5,765,722 2,882,861 8,648,584 4,324,292 2,162,146 1,081,073 3,243,220 1,621,610 810,805 2,432,416 1,216,208 608,104 304,052 152,026 76,013 228,040 114,020 57,010 28,505 85,516 42,758 21,379 64,138 32,069 96,208 48,104 24,052 12,026 6,013 18,040 9,020 4,510 2,255 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134

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