8,091,927

3³ × 299701

8,091,927 factors as 3^3 × 299701. Its 8 positive divisors give a proper-divisor sum of 3,896,153, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 3^3 × 299701

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,988,080

Proper Divisor Sum 3,896,153

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8091913 ← → #8091931

Radix Representation

Decimal	8091927
Binary	11110110111100100010111 (23 bits)
Octal	0o36674427
Hexadecimal	0x7B7917

Divisor Catalog (8)

1 3 9 27 299,701 899,103 2,697,309 8,091,927

Collatz Trajectory (155 steps to reach 1)

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

8,091,927 24,275,782 12,137,891 36,413,674 18,206,837 54,620,512 27,310,256 13,655,128 6,827,564 3,413,782 1,706,891 5,120,674 2,560,337 7,681,012 3,840,506 1,920,253 5,760,760 2,880,380 1,440,190 720,095 2,160,286 1,080,143 3,240,430 1,620,215 4,860,646 2,430,323 7,290,970 3,645,485 10,936,456 5,468,228 2,734,114 1,367,057 4,101,172 2,050,586 1,025,293 3,075,880 1,537,940 768,970 384,485 1,153,456 576,728 288,364 144,182 72,091 216,274 108,137 324,412 162,206 81,103 243,310 121,655 364,966 182,483 547,450 273,725 821,176 410,588 205,294 102,647 307,942

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