λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,678,060

3,678,060

22 × 3 × 5 × 59 × 1039
Abundant Even Composite

3,678,060 factors as 2^2 × 3 × 5 × 59 × 1039. Its 48 positive divisors give a proper-divisor sum of 6,805,140, so this integer is abundant. The Collatz stopping time is 58 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 59 × 1039
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,483,200
Proper Divisor Sum 6,805,140
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3678053 ← → #3678061

Radix Representation

Decimal 3678060
Binary 1110000001111101101100 (22 bits)
Octal 0o16017554
Hexadecimal 0x381F6C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1,039 1,180 1,770 2,078 3,117 3,540 4,156 5,195 6,234 10,390 12,468 15,585 20,780 31,170 61,301 62,340 122,602 183,903 245,204 306,505 367,806 613,010 735,612 919,515 1,226,020 1,839,030 3,678,060

Collatz Trajectory (58 steps to reach 1)

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

3,678,060 1,839,030 919,515 2,758,546 1,379,273 4,137,820 2,068,910 1,034,455 3,103,366 1,551,683 4,655,050 2,327,525 6,982,576 3,491,288 1,745,644 872,822 436,411 1,309,234 654,617 1,963,852 981,926 490,963 1,472,890 736,445 2,209,336 1,104,668 552,334 276,167 828,502 414,251 1,242,754 621,377 1,864,132 932,066 466,033 1,398,100 699,050 349,525 1,048,576 524,288 262,144 131,072 65,536 32,768 16,384 8,192 4,096 2,048 1,024 512 256 128 64 32 16 8 4 2 1

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,678,059 Browse Full Index Next Integer #3,678,061 →