8,091,752

2³ × 37 × 27337

8,091,752 factors as 2^3 × 37 × 27337. Its 16 positive divisors give a proper-divisor sum of 7,490,908, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^3 × 37 × 27337

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,582,660

Proper Divisor Sum 7,490,908

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8091751 ← → #8091763

Radix Representation

Decimal	8091752
Binary	11110110111100001101000 (23 bits)
Octal	0o36674150
Hexadecimal	0x7B7868

Divisor Catalog (16)

1 2 4 8 37 74 148 296 27,337 54,674 109,348 218,696 1,011,469 2,022,938 4,045,876 8,091,752

Collatz Trajectory (137 steps to reach 1)

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

8,091,752 4,045,876 2,022,938 1,011,469 3,034,408 1,517,204 758,602 379,301 1,137,904 568,952 284,476 142,238 71,119 213,358 106,679 320,038 160,019 480,058 240,029 720,088 360,044 180,022 90,011 270,034 135,017 405,052 202,526 101,263 303,790 151,895 455,686 227,843 683,530 341,765 1,025,296 512,648 256,324 128,162 64,081 192,244 96,122 48,061 144,184 72,092 36,046 18,023 54,070 27,035 81,106 40,553 121,660 60,830 30,415 91,246 45,623 136,870 68,435 205,306 102,653 307,960

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