6,802,328

2³ × 13 × 65407

Starting at 6,802,328, the Collatz iteration reaches 1 after 129 steps. The first transition is 3401164; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13 × 65407

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,735,680

Proper Divisor Sum 6,933,352

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #6802321 ← → #6802331

Radix Representation

Decimal	6802328
Binary	11001111100101110011000 (23 bits)
Octal	0o31745630
Hexadecimal	0x67CB98

Divisor Catalog (16)

1 2 4 8 13 26 52 104 65,407 130,814 261,628 523,256 850,291 1,700,582 3,401,164 6,802,328

Collatz Trajectory (129 steps to reach 1)

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

6,802,328 3,401,164 1,700,582 850,291 2,550,874 1,275,437 3,826,312 1,913,156 956,578 478,289 1,434,868 717,434 358,717 1,076,152 538,076 269,038 134,519 403,558 201,779 605,338 302,669 908,008 454,004 227,002 113,501 340,504 170,252 85,126 42,563 127,690 63,845 191,536 95,768 47,884 23,942 11,971 35,914 17,957 53,872 26,936 13,468 6,734 3,367 10,102 5,051 15,154 7,577 22,732 11,366 5,683 17,050 8,525 25,576 12,788 6,394 3,197 9,592 4,796 2,398 1,199

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