8,242,005

3 × 5 × 59 × 67 × 139

For 8,242,005, the 32 positive divisors have a total of 13,708,800. Removing 8,242,005 leaves 5,466,795, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 59 × 67 × 139

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,708,800

Proper Divisor Sum 5,466,795

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #8241979 ← → #8242007

Radix Representation

Decimal	8242005
Binary	11111011100001101010101 (23 bits)
Octal	0o37341525
Hexadecimal	0x7DC355

Divisor Catalog (32)

1 3 5 15 59 67 139 177 201 295 335 417 695 885 1,005 2,085 3,953 8,201 9,313 11,859 19,765 24,603 27,939 41,005 46,565 59,295 123,015 139,695 549,467 1,648,401 2,747,335 8,242,005

Collatz Trajectory (54 steps to reach 1)

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

8,242,005 24,726,016 12,363,008 6,181,504 3,090,752 1,545,376 772,688 386,344 193,172 96,586 48,293 144,880 72,440 36,220 18,110 9,055 27,166 13,583 40,750 20,375 61,126 30,563 91,690 45,845 137,536 68,768 34,384 17,192 8,596 4,298 2,149 6,448 3,224 1,612 806 403 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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