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Atlas › Integer Profiles › Node 3,206,752

3,206,752

25 × 23 × 4357
Abundant Even Composite

3,206,752 factors as 2^5 × 23 × 4357. Its 24 positive divisors give a proper-divisor sum of 3,382,544, so this integer is abundant. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 2^5 × 23 × 4357
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,589,296
Proper Divisor Sum 3,382,544
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3206747 ← → #3206767

Radix Representation

Decimal 3206752
Binary 1100001110111001100000 (22 bits)
Octal 0o14167140
Hexadecimal 0x30EE60

Divisor Catalog (24)

1 2 4 8 16 23 32 46 92 184 368 736 4,357 8,714 17,428 34,856 69,712 100,211 139,424 200,422 400,844 801,688 1,603,376 3,206,752

Collatz Trajectory (71 steps to reach 1)

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

3,206,752 1,603,376 801,688 400,844 200,422 100,211 300,634 150,317 450,952 225,476 112,738 56,369 169,108 84,554 42,277 126,832 63,416 31,708 15,854 7,927 23,782 11,891 35,674 17,837 53,512 26,756 13,378 6,689 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645 16,936 8,468 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17

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