6,382,152

2³ × 3⁵ × 7² × 67

6,382,152 factors as 2^3 × 3^5 × 7^2 × 67. Its 144 positive divisors give a proper-divisor sum of 14,780,808, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^3 × 3^5 × 7^2 × 67

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 21,162,960

Proper Divisor Sum 14,780,808

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6382151 ← → #6382153

Radix Representation

Decimal	6382152
Binary	11000010110001001001000 (23 bits)
Octal	0o30261110
Hexadecimal	0x616248

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 67 72 81 84 98 108 126 134 147 162 168 189 196 201 216 243 252 268 294 324 378 392 402 441 469 486 504 536 567 588 603 648 756 804 882 938 972 1,134 1,176

Collatz Trajectory (209 steps to reach 1)

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

6,382,152 3,191,076 1,595,538 797,769 2,393,308 1,196,654 598,327 1,794,982 897,491 2,692,474 1,346,237 4,038,712 2,019,356 1,009,678 504,839 1,514,518 757,259 2,271,778 1,135,889 3,407,668 1,703,834 851,917 2,555,752 1,277,876 638,938 319,469 958,408 479,204 239,602 119,801 359,404 179,702 89,851 269,554 134,777 404,332 202,166 101,083 303,250 151,625 454,876 227,438 113,719 341,158 170,579 511,738 255,869 767,608 383,804 191,902 95,951 287,854 143,927 431,782 215,891 647,674 323,837 971,512 485,756 242,878

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