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6,790,434

2 × 3 × 7 × 107 × 1511
Abundant Even Composite

6,790,434 factors as 2 × 3 × 7 × 107 × 1511. Its 32 positive divisors give a proper-divisor sum of 8,885,982, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 107 × 1511
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,676,416
Proper Divisor Sum 8,885,982
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6790411 ← → #6790471

Radix Representation

Decimal 6790434
Binary 11001111001110100100010 (23 bits)
Octal 0o31716442
Hexadecimal 0x679D22

Divisor Catalog (32)

1 2 3 6 7 14 21 42 107 214 321 642 749 1,498 1,511 2,247 3,022 4,494 4,533 9,066 10,577 21,154 31,731 63,462 161,677 323,354 485,031 970,062 1,131,739 2,263,478 3,395,217 6,790,434

Collatz Trajectory (85 steps to reach 1)

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

6,790,434 3,395,217 10,185,652 5,092,826 2,546,413 7,639,240 3,819,620 1,909,810 954,905 2,864,716 1,432,358 716,179 2,148,538 1,074,269 3,222,808 1,611,404 805,702 402,851 1,208,554 604,277 1,812,832 906,416 453,208 226,604 113,302 56,651 169,954 84,977 254,932 127,466 63,733 191,200 95,600 47,800 23,900 11,950 5,975 17,926 8,963 26,890 13,445 40,336 20,168 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200

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