8,092,082

2 × 509 × 7949

8,092,082 factors as 2 × 509 × 7949. Its 8 positive divisors give a proper-divisor sum of 4,071,418, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2 × 509 × 7949

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,163,500

Proper Divisor Sum 4,071,418

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8092069 ← → #8092103

Radix Representation

Decimal	8092082
Binary	11110110111100110110010 (23 bits)
Octal	0o36674662
Hexadecimal	0x7B79B2

Divisor Catalog (8)

1 2 509 1,018 7,949 15,898 4,046,041 8,092,082

Collatz Trajectory (186 steps to reach 1)

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

8,092,082 4,046,041 12,138,124 6,069,062 3,034,531 9,103,594 4,551,797 13,655,392 6,827,696 3,413,848 1,706,924 853,462 426,731 1,280,194 640,097 1,920,292 960,146 480,073 1,440,220 720,110 360,055 1,080,166 540,083 1,620,250 810,125 2,430,376 1,215,188 607,594 303,797 911,392 455,696 227,848 113,924 56,962 28,481 85,444 42,722 21,361 64,084 32,042 16,021 48,064 24,032 12,016 6,008 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566

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