8,091,825

3 × 5² × 7 × 15413

8,091,825 factors as 3 × 5^2 × 7 × 15413. Its 24 positive divisors give a proper-divisor sum of 7,198,863, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 15413

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,290,688

Proper Divisor Sum 7,198,863

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8091821 ← → #8091829

Radix Representation

Decimal	8091825
Binary	11110110111100010110001 (23 bits)
Octal	0o36674261
Hexadecimal	0x7B78B1

Divisor Catalog (24)

Collatz Trajectory (85 steps to reach 1)

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

8,091,825 24,275,476 12,137,738 6,068,869 18,206,608 9,103,304 4,551,652 2,275,826 1,137,913 3,413,740 1,706,870 853,435 2,560,306 1,280,153 3,840,460 1,920,230 960,115 2,880,346 1,440,173 4,320,520 2,160,260 1,080,130 540,065 1,620,196 810,098 405,049 1,215,148 607,574 303,787 911,362 455,681 1,367,044 683,522 341,761 1,025,284 512,642 256,321 768,964 384,482 192,241 576,724 288,362 144,181 432,544 216,272 108,136 54,068 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,091,824 Browse Full Index Next Integer #8,091,826 →