6,584,418

2 × 3² × 43 × 47 × 181

Starting at 6,584,418, the Collatz iteration reaches 1 after 116 steps. The first transition is 3292209; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 43 × 47 × 181

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,990,976

Proper Divisor Sum 8,406,558

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6584411 ← → #6584447

Radix Representation

Decimal	6584418
Binary	11001000111100001100010 (23 bits)
Octal	0o31074142
Hexadecimal	0x647862

Divisor Catalog (48)

1 2 3 6 9 18 43 47 86 94 129 141 181 258 282 362 387 423 543 774 846 1,086 1,629 2,021 3,258 4,042 6,063 7,783 8,507 12,126 15,566 17,014 18,189 23,349 25,521 36,378 46,698 51,042 70,047 76,563 140,094 153,126 365,801 731,602 1,097,403 2,194,806 3,292,209 6,584,418

Collatz Trajectory (116 steps to reach 1)

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

6,584,418 3,292,209 9,876,628 4,938,314 2,469,157 7,407,472 3,703,736 1,851,868 925,934 462,967 1,388,902 694,451 2,083,354 1,041,677 3,125,032 1,562,516 781,258 390,629 1,171,888 585,944 292,972 146,486 73,243 219,730 109,865 329,596 164,798 82,399 247,198 123,599 370,798 185,399 556,198 278,099 834,298 417,149 1,251,448 625,724 312,862 156,431 469,294 234,647 703,942 351,971 1,055,914 527,957 1,583,872 791,936 395,968 197,984 98,992 49,496 24,748 12,374 6,187 18,562 9,281 27,844 13,922 6,961

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