8,082,268

2² × 73 × 89 × 311

8,082,268 factors as 2^2 × 73 × 89 × 311. Its 24 positive divisors give a proper-divisor sum of 6,463,172, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^2 × 73 × 89 × 311

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,545,440

Proper Divisor Sum 6,463,172

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8082257 ← → #8082287

Radix Representation

Decimal	8082268
Binary	11110110101001101011100 (23 bits)
Octal	0o36651534
Hexadecimal	0x7B535C

Divisor Catalog (24)

1 2 4 73 89 146 178 292 311 356 622 1,244 6,497 12,994 22,703 25,988 27,679 45,406 55,358 90,812 110,716 2,020,567 4,041,134 8,082,268

Collatz Trajectory (186 steps to reach 1)

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

8,082,268 4,041,134 2,020,567 6,061,702 3,030,851 9,092,554 4,546,277 13,638,832 6,819,416 3,409,708 1,704,854 852,427 2,557,282 1,278,641 3,835,924 1,917,962 958,981 2,876,944 1,438,472 719,236 359,618 179,809 539,428 269,714 134,857 404,572 202,286 101,143 303,430 151,715 455,146 227,573 682,720 341,360 170,680 85,340 42,670 21,335 64,006 32,003 96,010 48,005 144,016 72,008 36,004 18,002 9,001 27,004 13,502 6,751 20,254 10,127 30,382 15,191 45,574 22,787 68,362 34,181 102,544 51,272

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