6,532,752

2⁴ × 3 × 136099

6,532,752 factors as 2^4 × 3 × 136099. Its 20 positive divisors give a proper-divisor sum of 10,343,648, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 136099

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 16,876,400

Proper Divisor Sum 10,343,648

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6532739 ← → #6532763

Radix Representation

Decimal	6532752
Binary	11000111010111010010000 (23 bits)
Octal	0o30727220
Hexadecimal	0x63AE90

Divisor Catalog (20)

Collatz Trajectory (116 steps to reach 1)

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

6,532,752 3,266,376 1,633,188 816,594 408,297 1,224,892 612,446 306,223 918,670 459,335 1,378,006 689,003 2,067,010 1,033,505 3,100,516 1,550,258 775,129 2,325,388 1,162,694 581,347 1,744,042 872,021 2,616,064 1,308,032 654,016 327,008 163,504 81,752 40,876 20,438 10,219 30,658 15,329 45,988 22,994 11,497 34,492 17,246 8,623 25,870 12,935 38,806 19,403 58,210 29,105 87,316 43,658 21,829 65,488 32,744 16,372 8,186 4,093 12,280 6,140 3,070 1,535 4,606 2,303 6,910

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