8,317,984

2⁵ × 259937

8,317,984 factors as 2^5 × 259937. Its 12 positive divisors give a proper-divisor sum of 8,058,110, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^5 × 259937

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,376,094

Proper Divisor Sum 8,058,110

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8317949 ← → #8317999

Radix Representation

Decimal	8317984
Binary	11111101110110000100000 (23 bits)
Octal	0o37566040
Hexadecimal	0x7EEC20

Divisor Catalog (12)

1 2 4 8 16 32 259,937 519,874 1,039,748 2,079,496 4,158,992 8,317,984

Collatz Trajectory (168 steps to reach 1)

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

8,317,984 4,158,992 2,079,496 1,039,748 519,874 259,937 779,812 389,906 194,953 584,860 292,430 146,215 438,646 219,323 657,970 328,985 986,956 493,478 246,739 740,218 370,109 1,110,328 555,164 277,582 138,791 416,374 208,187 624,562 312,281 936,844 468,422 234,211 702,634 351,317 1,053,952 526,976 263,488 131,744 65,872 32,936 16,468 8,234 4,117 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41

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