6,187,644

2² × 3³ × 23 × 47 × 53

Starting at 6,187,644, the Collatz iteration reaches 1 after 183 steps. The first transition is 3093822; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 23 × 47 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 17,418,240

Proper Divisor Sum 11,230,596

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6187639 ← → #6187661

Radix Representation

Decimal	6187644
Binary	10111100110101001111100 (23 bits)
Octal	0o27465174
Hexadecimal	0x5E6A7C

Divisor Catalog (60 of 96)

1 2 3 4 6 9 12 18 23 27 36 46 47 53 54 69 92 94 106 108 138 141 159 188 207 212 276 282 318 414 423 477 564 621 636 828 846 954 1,081 1,219 1,242 1,269 1,431 1,692 1,908 2,162 2,438 2,484 2,491 2,538 2,862 3,243 3,657 4,324 4,876 4,982 5,076 5,724 6,486 7,314

Collatz Trajectory (183 steps to reach 1)

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

6,187,644 3,093,822 1,546,911 4,640,734 2,320,367 6,961,102 3,480,551 10,441,654 5,220,827 15,662,482 7,831,241 23,493,724 11,746,862 5,873,431 17,620,294 8,810,147 26,430,442 13,215,221 39,645,664 19,822,832 9,911,416 4,955,708 2,477,854 1,238,927 3,716,782 1,858,391 5,575,174 2,787,587 8,362,762 4,181,381 12,544,144 6,272,072 3,136,036 1,568,018 784,009 2,352,028 1,176,014 588,007 1,764,022 882,011 2,646,034 1,323,017 3,969,052 1,984,526 992,263 2,976,790 1,488,395 4,465,186 2,232,593 6,697,780 3,348,890 1,674,445 5,023,336 2,511,668 1,255,834 627,917 1,883,752 941,876 470,938 235,469

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