8,091,369

3² × 11 × 13 × 6287

8,091,369 factors as 3^2 × 11 × 13 × 6287. Its 24 positive divisors give a proper-divisor sum of 5,641,623, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 13 × 6287

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,732,992

Proper Divisor Sum 5,641,623

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8091367 ← → #8091409

Radix Representation

Decimal	8091369
Binary	11110110111011011101001 (23 bits)
Octal	0o36673351
Hexadecimal	0x7B76E9

Divisor Catalog (24)

Collatz Trajectory (85 steps to reach 1)

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

8,091,369 24,274,108 12,137,054 6,068,527 18,205,582 9,102,791 27,308,374 13,654,187 40,962,562 20,481,281 61,443,844 30,721,922 15,360,961 46,082,884 23,041,442 11,520,721 34,562,164 17,281,082 8,640,541 25,921,624 12,960,812 6,480,406 3,240,203 9,720,610 4,860,305 14,580,916 7,290,458 3,645,229 10,935,688 5,467,844 2,733,922 1,366,961 4,100,884 2,050,442 1,025,221 3,075,664 1,537,832 768,916 384,458 192,229 576,688 288,344 144,172 72,086 36,043 108,130 54,065 162,196 81,098 40,549 121,648 60,824 30,412 15,206 7,603 22,810 11,405 34,216 17,108 8,554

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