6,788,824

2³ × 7 × 121229

Starting at 6,788,824, the Collatz iteration reaches 1 after 129 steps. The first transition is 3394412; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 121229

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,547,600

Proper Divisor Sum 7,758,776

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #6788801 ← → #6788839

Radix Representation

Decimal	6788824
Binary	11001111001011011011000 (23 bits)
Octal	0o31713330
Hexadecimal	0x6796D8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 121,229 242,458 484,916 848,603 969,832 1,697,206 3,394,412 6,788,824

Collatz Trajectory (129 steps to reach 1)

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

6,788,824 3,394,412 1,697,206 848,603 2,545,810 1,272,905 3,818,716 1,909,358 954,679 2,864,038 1,432,019 4,296,058 2,148,029 6,444,088 3,222,044 1,611,022 805,511 2,416,534 1,208,267 3,624,802 1,812,401 5,437,204 2,718,602 1,359,301 4,077,904 2,038,952 1,019,476 509,738 254,869 764,608 382,304 191,152 95,576 47,788 23,894 11,947 35,842 17,921 53,764 26,882 13,441 40,324 20,162 10,081 30,244 15,122 7,561 22,684 11,342 5,671 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072

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