8,091,465

3 × 5 × 31 × 17401

8,091,465 factors as 3 × 5 × 31 × 17401. Its 16 positive divisors give a proper-divisor sum of 5,273,271, so this integer is deficient. The Collatz stopping time is 367 steps.

Prime Factor Structure

Factorization String 3 × 5 × 31 × 17401

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,364,736

Proper Divisor Sum 5,273,271

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8091451 ← → #8091481

Radix Representation

Decimal	8091465
Binary	11110110111011101001001 (23 bits)
Octal	0o36673511
Hexadecimal	0x7B7749

Divisor Catalog (16)

1 3 5 15 31 93 155 465 17,401 52,203 87,005 261,015 539,431 1,618,293 2,697,155 8,091,465

Collatz Trajectory (367 steps to reach 1)

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

8,091,465 24,274,396 12,137,198 6,068,599 18,205,798 9,102,899 27,308,698 13,654,349 40,963,048 20,481,524 10,240,762 5,120,381 15,361,144 7,680,572 3,840,286 1,920,143 5,760,430 2,880,215 8,640,646 4,320,323 12,960,970 6,480,485 19,441,456 9,720,728 4,860,364 2,430,182 1,215,091 3,645,274 1,822,637 5,467,912 2,733,956 1,366,978 683,489 2,050,468 1,025,234 512,617 1,537,852 768,926 384,463 1,153,390 576,695 1,730,086 865,043 2,595,130 1,297,565 3,892,696 1,946,348 973,174 486,587 1,459,762 729,881 2,189,644 1,094,822 547,411 1,642,234 821,117 2,463,352 1,231,676 615,838 307,919

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