λ
Integer Codex

9,673,643

7 × 31 × 44579
Deficient Odd Composite

For 9,673,643, the 8 positive divisors have a total of 11,412,480. Removing 9,673,643 leaves 1,738,837, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 31 × 44579
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,412,480
Proper Divisor Sum 1,738,837
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9673627 ← → #9673649

Radix Representation

Decimal 9673643
Binary 100100111001101110101011 (24 bits)
Octal 0o44715653
Hexadecimal 0x939BAB

Divisor Catalog (8)

1 7 31 217 44,579 312,053 1,381,949 9,673,643

Collatz Trajectory (119 steps to reach 1)

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

9,673,643 29,020,930 14,510,465 43,531,396 21,765,698 10,882,849 32,648,548 16,324,274 8,162,137 24,486,412 12,243,206 6,121,603 18,364,810 9,182,405 27,547,216 13,773,608 6,886,804 3,443,402 1,721,701 5,165,104 2,582,552 1,291,276 645,638 322,819 968,458 484,229 1,452,688 726,344 363,172 181,586 90,793 272,380 136,190 68,095 204,286 102,143 306,430 153,215 459,646 229,823 689,470 344,735 1,034,206 517,103 1,551,310 775,655 2,326,966 1,163,483 3,490,450 1,745,225 5,235,676 2,617,838 1,308,919 3,926,758 1,963,379 5,890,138 2,945,069 8,835,208 4,417,604 2,208,802

More profiles

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