8,534,162

2 × 7 × 13² × 3607

Starting at 8,534,162, the Collatz iteration reaches 1 after 318 steps. The first transition is 4267081; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 13^2 × 3607

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,846,336

Proper Divisor Sum 7,312,174

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8534159 ← → #8534177

Radix Representation

Decimal	8534162
Binary	100000100011100010010010 (24 bits)
Octal	0o40434222
Hexadecimal	0x823892

Divisor Catalog (24)

1 2 7 13 14 26 91 169 182 338 1,183 2,366 3,607 7,214 25,249 46,891 50,498 93,782 328,237 609,583 656,474 1,219,166 4,267,081 8,534,162

Collatz Trajectory (318 steps to reach 1)

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

8,534,162 4,267,081 12,801,244 6,400,622 3,200,311 9,600,934 4,800,467 14,401,402 7,200,701 21,602,104 10,801,052 5,400,526 2,700,263 8,100,790 4,050,395 12,151,186 6,075,593 18,226,780 9,113,390 4,556,695 13,670,086 6,835,043 20,505,130 10,252,565 30,757,696 15,378,848 7,689,424 3,844,712 1,922,356 961,178 480,589 1,441,768 720,884 360,442 180,221 540,664 270,332 135,166 67,583 202,750 101,375 304,126 152,063 456,190 228,095 684,286 342,143 1,026,430 513,215 1,539,646 769,823 2,309,470 1,154,735 3,464,206 1,732,103 5,196,310 2,598,155 7,794,466 3,897,233 11,691,700

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