8,084,168

2³ × 233 × 4337

For 8,084,168, the 16 positive divisors have a total of 15,226,380. Removing 8,084,168 leaves 7,142,212, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 233 × 4337

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,226,380

Proper Divisor Sum 7,142,212

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8084159 ← → #8084173

Radix Representation

Decimal	8084168
Binary	11110110101101011001000 (23 bits)
Octal	0o36655310
Hexadecimal	0x7B5AC8

Divisor Catalog (16)

1 2 4 8 233 466 932 1,864 4,337 8,674 17,348 34,696 1,010,521 2,021,042 4,042,084 8,084,168

Collatz Trajectory (85 steps to reach 1)

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

8,084,168 4,042,084 2,021,042 1,010,521 3,031,564 1,515,782 757,891 2,273,674 1,136,837 3,410,512 1,705,256 852,628 426,314 213,157 639,472 319,736 159,868 79,934 39,967 119,902 59,951 179,854 89,927 269,782 134,891 404,674 202,337 607,012 303,506 151,753 455,260 227,630 113,815 341,446 170,723 512,170 256,085 768,256 384,128 192,064 96,032 48,016 24,008 12,004 6,002 3,001 9,004 4,502 2,251 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426

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