8,320,168

2³ × 1040021

8,320,168 factors as 2^3 × 1040021. Its 8 positive divisors give a proper-divisor sum of 7,280,162, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^3 × 1040021

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 15,600,330

Proper Divisor Sum 7,280,162

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8320159 ← → #8320177

Radix Representation

Decimal	8320168
Binary	11111101111010010101000 (23 bits)
Octal	0o37572250
Hexadecimal	0x7EF4A8

Divisor Catalog (8)

1 2 4 8 1,040,021 2,080,042 4,160,084 8,320,168

Collatz Trajectory (80 steps to reach 1)

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

8,320,168 4,160,084 2,080,042 1,040,021 3,120,064 1,560,032 780,016 390,008 195,004 97,502 48,751 146,254 73,127 219,382 109,691 329,074 164,537 493,612 246,806 123,403 370,210 185,105 555,316 277,658 138,829 416,488 208,244 104,122 52,061 156,184 78,092 39,046 19,523 58,570 29,285 87,856 43,928 21,964 10,982 5,491 16,474 8,237 24,712 12,356 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245

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