8,091,612

2² × 3² × 73 × 3079

8,091,612 factors as 2^2 × 3^2 × 73 × 3079. Its 36 positive divisors give a proper-divisor sum of 12,649,108, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 73 × 3079

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 20,740,720

Proper Divisor Sum 12,649,108

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8091583 ← → #8091617

Radix Representation

Decimal	8091612
Binary	11110110111011111011100 (23 bits)
Octal	0o36673734
Hexadecimal	0x7B77DC

Divisor Catalog (36)

Collatz Trajectory (85 steps to reach 1)

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

8,091,612 4,045,806 2,022,903 6,068,710 3,034,355 9,103,066 4,551,533 13,654,600 6,827,300 3,413,650 1,706,825 5,120,476 2,560,238 1,280,119 3,840,358 1,920,179 5,760,538 2,880,269 8,640,808 4,320,404 2,160,202 1,080,101 3,240,304 1,620,152 810,076 405,038 202,519 607,558 303,779 911,338 455,669 1,367,008 683,504 341,752 170,876 85,438 42,719 128,158 64,079 192,238 96,119 288,358 144,179 432,538 216,269 648,808 324,404 162,202 81,101 243,304 121,652 60,826 30,413 91,240 45,620 22,810 11,405 34,216 17,108 8,554

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