6,548,536

2³ × 17 × 179 × 269

Starting at 6,548,536, the Collatz iteration reaches 1 after 178 steps. The first transition is 3274268; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 17 × 179 × 269

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,122,000

Proper Divisor Sum 6,573,464

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #6548497 ← → #6548539

Radix Representation

Decimal	6548536
Binary	11000111110110000111000 (23 bits)
Octal	0o30766070
Hexadecimal	0x63EC38

Divisor Catalog (32)

1 2 4 8 17 34 68 136 179 269 358 538 716 1,076 1,432 2,152 3,043 4,573 6,086 9,146 12,172 18,292 24,344 36,584 48,151 96,302 192,604 385,208 818,567 1,637,134 3,274,268 6,548,536

Collatz Trajectory (178 steps to reach 1)

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

6,548,536 3,274,268 1,637,134 818,567 2,455,702 1,227,851 3,683,554 1,841,777 5,525,332 2,762,666 1,381,333 4,144,000 2,072,000 1,036,000 518,000 259,000 129,500 64,750 32,375 97,126 48,563 145,690 72,845 218,536 109,268 54,634 27,317 81,952 40,976 20,488 10,244 5,122 2,561 7,684 3,842 1,921 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193

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