λ
Integer Codex

7,738,621

11 × 17 × 29 × 1427
Deficient Odd Composite

For 7,738,621, the 16 positive divisors have a total of 9,253,440. Removing 7,738,621 leaves 1,514,819, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 17 × 29 × 1427
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,253,440
Proper Divisor Sum 1,514,819
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7738607 ← → #7738663

Radix Representation

Decimal 7738621
Binary 11101100001010011111101 (23 bits)
Octal 0o35412375
Hexadecimal 0x7614FD

Divisor Catalog (16)

1 11 17 29 187 319 493 1,427 5,423 15,697 24,259 41,383 266,849 455,213 703,511 7,738,621

Collatz Trajectory (80 steps to reach 1)

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

7,738,621 23,215,864 11,607,932 5,803,966 2,901,983 8,705,950 4,352,975 13,058,926 6,529,463 19,588,390 9,794,195 29,382,586 14,691,293 44,073,880 22,036,940 11,018,470 5,509,235 16,527,706 8,263,853 24,791,560 12,395,780 6,197,890 3,098,945 9,296,836 4,648,418 2,324,209 6,972,628 3,486,314 1,743,157 5,229,472 2,614,736 1,307,368 653,684 326,842 163,421 490,264 245,132 122,566 61,283 183,850 91,925 275,776 137,888 68,944 34,472 17,236 8,618 4,309 12,928 6,464 3,232 1,616 808 404 202 101 304 152 76 38

More profiles

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