8,294,284

2² × 401 × 5171

For 8,294,284, the 12 positive divisors have a total of 14,554,008. Removing 8,294,284 leaves 6,259,724, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 401 × 5171

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,554,008

Proper Divisor Sum 6,259,724

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8294263 ← → #8294303

Radix Representation

Decimal	8294284
Binary	11111101000111110001100 (23 bits)
Octal	0o37507614
Hexadecimal	0x7E8F8C

Divisor Catalog (12)

1 2 4 401 802 1,604 5,171 10,342 20,684 2,073,571 4,147,142 8,294,284

Collatz Trajectory (168 steps to reach 1)

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

8,294,284 4,147,142 2,073,571 6,220,714 3,110,357 9,331,072 4,665,536 2,332,768 1,166,384 583,192 291,596 145,798 72,899 218,698 109,349 328,048 164,024 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325 12,976 6,488 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41

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