λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,804,576

6,804,576

25 × 32 × 23627
Abundant Even Composite

6,804,576 factors as 2^5 × 3^2 × 23627. Its 36 positive divisors give a proper-divisor sum of 12,546,756, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 23627
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 19,351,332
Proper Divisor Sum 12,546,756
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6804571 ← → #6804583

Radix Representation

Decimal 6804576
Binary 11001111101010001100000 (23 bits)
Octal 0o31752140
Hexadecimal 0x67D460

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 23,627 47,254 70,881 94,508 141,762 189,016 212,643 283,524 378,032 425,286 567,048 756,064 850,572 1,134,096 1,701,144 2,268,192 3,402,288 6,804,576

Collatz Trajectory (85 steps to reach 1)

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

6,804,576 3,402,288 1,701,144 850,572 425,286 212,643 637,930 318,965 956,896 478,448 239,224 119,612 59,806 29,903 89,710 44,855 134,566 67,283 201,850 100,925 302,776 151,388 75,694 37,847 113,542 56,771 170,314 85,157 255,472 127,736 63,868 31,934 15,967 47,902 23,951 71,854 35,927 107,782 53,891 161,674 80,837 242,512 121,256 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #6,804,575 Browse Full Index Next Integer #6,804,577 →