6,548,128

2⁵ × 17 × 12037

Starting at 6,548,128, the Collatz iteration reaches 1 after 85 steps. The first transition is 3274064; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 17 × 12037

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,651,092

Proper Divisor Sum 7,102,964

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6548107 ← → #6548131

Radix Representation

Decimal	6548128
Binary	11000111110101010100000 (23 bits)
Octal	0o30765240
Hexadecimal	0x63EAA0

Divisor Catalog (24)

1 2 4 8 16 17 32 34 68 136 272 544 12,037 24,074 48,148 96,296 192,592 204,629 385,184 409,258 818,516 1,637,032 3,274,064 6,548,128

Collatz Trajectory (85 steps to reach 1)

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

6,548,128 3,274,064 1,637,032 818,516 409,258 204,629 613,888 306,944 153,472 76,736 38,368 19,184 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196

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