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8,339,825

52 × 13 × 67 × 383
Deficient Odd Composite

8,339,825 factors as 5^2 × 13 × 67 × 383. Its 24 positive divisors give a proper-divisor sum of 2,992,783, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 5^2 × 13 × 67 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,332,608
Proper Divisor Sum 2,992,783
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8339819 ← → #8339831

Radix Representation

Decimal 8339825
Binary 11111110100000101110001 (23 bits)
Octal 0o37640561
Hexadecimal 0x7F4171

Divisor Catalog (24)

1 5 13 25 65 67 325 335 383 871 1,675 1,915 4,355 4,979 9,575 21,775 24,895 25,661 124,475 128,305 333,593 641,525 1,667,965 8,339,825

Collatz Trajectory (230 steps to reach 1)

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

8,339,825 25,019,476 12,509,738 6,254,869 18,764,608 9,382,304 4,691,152 2,345,576 1,172,788 586,394 293,197 879,592 439,796 219,898 109,949 329,848 164,924 82,462 41,231 123,694 61,847 185,542 92,771 278,314 139,157 417,472 208,736 104,368 52,184 26,092 13,046 6,523 19,570 9,785 29,356 14,678 7,339 22,018 11,009 33,028 16,514 8,257 24,772 12,386 6,193 18,580 9,290 4,645 13,936 6,968 3,484 1,742 871 2,614 1,307 3,922 1,961 5,884 2,942 1,471

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