6,786,428

2² × 11 × 89 × 1733

Starting at 6,786,428, the Collatz iteration reaches 1 after 85 steps. The first transition is 3393214; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 89 × 1733

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,109,040

Proper Divisor Sum 6,322,612

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #6786413 ← → #6786457

Radix Representation

Decimal	6786428
Binary	11001111000110101111100 (23 bits)
Octal	0o31706574
Hexadecimal	0x678D7C

Divisor Catalog (24)

1 2 4 11 22 44 89 178 356 979 1,733 1,958 3,466 3,916 6,932 19,063 38,126 76,252 154,237 308,474 616,948 1,696,607 3,393,214 6,786,428

Collatz Trajectory (85 steps to reach 1)

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

6,786,428 3,393,214 1,696,607 5,089,822 2,544,911 7,634,734 3,817,367 11,452,102 5,726,051 17,178,154 8,589,077 25,767,232 12,883,616 6,441,808 3,220,904 1,610,452 805,226 402,613 1,207,840 603,920 301,960 150,980 75,490 37,745 113,236 56,618 28,309 84,928 42,464 21,232 10,616 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 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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