λ
Prime Ledger

6,612,996

22 × 3 × 13 × 42391
Abundant Even Composite

6,612,996 has the prime decomposition 2^2 × 3 × 13 × 42391. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 42391
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,617,664
Proper Divisor Sum 10,004,668
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6612979 ← → #6613001

Radix Representation

Decimal 6612996
Binary 11001001110100000000100 (23 bits)
Octal 0o31164004
Hexadecimal 0x64E804

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 42,391 84,782 127,173 169,564 254,346 508,692 551,083 1,102,166 1,653,249 2,204,332 3,306,498 6,612,996

Collatz Trajectory (116 steps to reach 1)

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

6,612,996 3,306,498 1,653,249 4,959,748 2,479,874 1,239,937 3,719,812 1,859,906 929,953 2,789,860 1,394,930 697,465 2,092,396 1,046,198 523,099 1,569,298 784,649 2,353,948 1,176,974 588,487 1,765,462 882,731 2,648,194 1,324,097 3,972,292 1,986,146 993,073 2,979,220 1,489,610 744,805 2,234,416 1,117,208 558,604 279,302 139,651 418,954 209,477 628,432 314,216 157,108 78,554 39,277 117,832 58,916 29,458 14,729 44,188 22,094 11,047 33,142 16,571 49,714 24,857 74,572 37,286 18,643 55,930 27,965 83,896 41,948

More profiles

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