λ
Harmonic Matrix

6,679,434

2 × 3 × 1113239
Abundant Even Composite

6,679,434 has digital root 3. The neighboring primes are 6679423 and 6679451; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1113239
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,358,880
Proper Divisor Sum 6,679,446
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6679423 ← → #6679451

Radix Representation

Decimal 6679434
Binary 11001011110101110001010 (23 bits)
Octal 0o31365612
Hexadecimal 0x65EB8A

Divisor Catalog (8)

1 2 3 6 1,113,239 2,226,478 3,339,717 6,679,434

Collatz Trajectory (90 steps to reach 1)

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

6,679,434 3,339,717 10,019,152 5,009,576 2,504,788 1,252,394 626,197 1,878,592 939,296 469,648 234,824 117,412 58,706 29,353 88,060 44,030 22,015 66,046 33,023 99,070 49,535 148,606 74,303 222,910 111,455 334,366 167,183 501,550 250,775 752,326 376,163 1,128,490 564,245 1,692,736 846,368 423,184 211,592 105,796 52,898 26,449 79,348 39,674 19,837 59,512 29,756 14,878 7,439 22,318 11,159 33,478 16,739 50,218 25,109 75,328 37,664 18,832 9,416 4,708 2,354 1,177

More profiles

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