λ
Integer Codex

8,688,082

2 × 13 × 334157
Deficient Even Composite

For 8,688,082, the 8 positive divisors have a total of 14,034,636. Removing 8,688,082 leaves 5,346,554, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 13 × 334157
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,034,636
Proper Divisor Sum 5,346,554
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8688077 ← → #8688083

Radix Representation

Decimal 8688082
Binary 100001001001000111010010 (24 bits)
Octal 0o41110722
Hexadecimal 0x8491D2

Divisor Catalog (8)

1 2 13 26 334,157 668,314 4,344,041 8,688,082

Collatz Trajectory (106 steps to reach 1)

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

8,688,082 4,344,041 13,032,124 6,516,062 3,258,031 9,774,094 4,887,047 14,661,142 7,330,571 21,991,714 10,995,857 32,987,572 16,493,786 8,246,893 24,740,680 12,370,340 6,185,170 3,092,585 9,277,756 4,638,878 2,319,439 6,958,318 3,479,159 10,437,478 5,218,739 15,656,218 7,828,109 23,484,328 11,742,164 5,871,082 2,935,541 8,806,624 4,403,312 2,201,656 1,100,828 550,414 275,207 825,622 412,811 1,238,434 619,217 1,857,652 928,826 464,413 1,393,240 696,620 348,310 174,155 522,466 261,233 783,700 391,850 195,925 587,776 293,888 146,944 73,472 36,736 18,368 9,184

More profiles

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