λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,091,480

8,091,480

23 × 3 × 5 × 67429
Abundant Even Composite

8,091,480 factors as 2^3 × 3 × 5 × 67429. Its 32 positive divisors give a proper-divisor sum of 16,183,320, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 67429
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,274,800
Proper Divisor Sum 16,183,320
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8091451 ← → #8091481

Radix Representation

Decimal 8091480
Binary 11110110111011101011000 (23 bits)
Octal 0o36673530
Hexadecimal 0x7B7758

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 67,429 134,858 202,287 269,716 337,145 404,574 539,432 674,290 809,148 1,011,435 1,348,580 1,618,296 2,022,870 2,697,160 4,045,740 8,091,480

Collatz Trajectory (111 steps to reach 1)

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

8,091,480 4,045,740 2,022,870 1,011,435 3,034,306 1,517,153 4,551,460 2,275,730 1,137,865 3,413,596 1,706,798 853,399 2,560,198 1,280,099 3,840,298 1,920,149 5,760,448 2,880,224 1,440,112 720,056 360,028 180,014 90,007 270,022 135,011 405,034 202,517 607,552 303,776 151,888 75,944 37,972 18,986 9,493 28,480 14,240 7,120 3,560 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,091,479 Browse Full Index Next Integer #8,091,481 →