8,509,464

2³ × 3² × 73 × 1619

Starting at 8,509,464, the Collatz iteration reaches 1 after 199 steps. The first transition is 4254732; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 73 × 1619

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 23,376,600

Proper Divisor Sum 14,867,136

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8509453 ← → #8509483

Radix Representation

Decimal	8509464
Binary	100000011101100000011000 (24 bits)
Octal	0o40354030
Hexadecimal	0x81D818

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1,314 1,619 1,752 2,628 3,238 4,857 5,256 6,476 9,714 12,952 14,571 19,428 29,142 38,856 58,284 116,568 118,187 236,374 354,561 472,748 709,122 945,496 1,063,683 1,418,244 2,127,366 2,836,488 4,254,732 8,509,464

Collatz Trajectory (199 steps to reach 1)

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

8,509,464 4,254,732 2,127,366 1,063,683 3,191,050 1,595,525 4,786,576 2,393,288 1,196,644 598,322 299,161 897,484 448,742 224,371 673,114 336,557 1,009,672 504,836 252,418 126,209 378,628 189,314 94,657 283,972 141,986 70,993 212,980 106,490 53,245 159,736 79,868 39,934 19,967 59,902 29,951 89,854 44,927 134,782 67,391 202,174 101,087 303,262 151,631 454,894 227,447 682,342 341,171 1,023,514 511,757 1,535,272 767,636 383,818 191,909 575,728 287,864 143,932 71,966 35,983 107,950 53,975

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