λ
Ratio Atlas

6,688,848

24 × 3 × 331 × 421
Abundant Even Composite

6,688,848 factors as 2^4 × 3 × 331 × 421. Its 40 positive divisors give a proper-divisor sum of 10,684,048, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 331 × 421
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 17,372,896
Proper Divisor Sum 10,684,048
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #6688831 ← → #6688849

Radix Representation

Decimal 6688848
Binary 11001100001000001010000 (23 bits)
Octal 0o31410120
Hexadecimal 0x661050

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 331 421 662 842 993 1,263 1,324 1,684 1,986 2,526 2,648 3,368 3,972 5,052 5,296 6,736 7,944 10,104 15,888 20,208 139,351 278,702 418,053 557,404 836,106 1,114,808 1,672,212 2,229,616 3,344,424 6,688,848

Collatz Trajectory (147 steps to reach 1)

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

6,688,848 3,344,424 1,672,212 836,106 418,053 1,254,160 627,080 313,540 156,770 78,385 235,156 117,578 58,789 176,368 88,184 44,092 22,046 11,023 33,070 16,535 49,606 24,803 74,410 37,205 111,616 55,808 27,904 13,952 6,976 3,488 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206

More profiles

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