λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,080,320

3,080,320

27 × 5 × 4813
Abundant Even Composite

3,080,320 factors as 2^7 × 5 × 4813. Its 32 positive divisors give a proper-divisor sum of 4,285,100, so this integer is abundant. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2^7 × 5 × 4813
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,365,420
Proper Divisor Sum 4,285,100
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #3080303 ← → #3080347

Radix Representation

Decimal 3080320
Binary 1011110000000010000000 (22 bits)
Octal 0o13600200
Hexadecimal 0x2F0080

Divisor Catalog (32)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 4,813 9,626 19,252 24,065 38,504 48,130 77,008 96,260 154,016 192,520 308,032 385,040 616,064 770,080 1,540,160 3,080,320

Collatz Trajectory (76 steps to reach 1)

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

3,080,320 1,540,160 770,080 385,040 192,520 96,260 48,130 24,065 72,196 36,098 18,049 54,148 27,074 13,537 40,612 20,306 10,153 30,460 15,230 7,615 22,846 11,423 34,270 17,135 51,406 25,703 77,110 38,555 115,666 57,833 173,500 86,750 43,375 130,126 65,063 195,190 97,595 292,786 146,393 439,180 219,590 109,795 329,386 164,693 494,080 247,040 123,520 61,760 30,880 15,440 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,080,319 Browse Full Index Next Integer #3,080,321 →