3,973,152

2⁵ × 3 × 41387

3,973,152 factors as 2^5 × 3 × 41387. Its 24 positive divisors give a proper-divisor sum of 6,456,624, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 41387

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,429,776

Proper Divisor Sum 6,456,624

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3973139 ← → #3973153

Radix Representation

Decimal	3973152
Binary	1111001010000000100000 (22 bits)
Octal	0o17120040
Hexadecimal	0x3CA020

Divisor Catalog (24)

Collatz Trajectory (92 steps to reach 1)

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

3,973,152 1,986,576 993,288 496,644 248,322 124,161 372,484 186,242 93,121 279,364 139,682 69,841 209,524 104,762 52,381 157,144 78,572 39,286 19,643 58,930 29,465 88,396 44,198 22,099 66,298 33,149 99,448 49,724 24,862 12,431 37,294 18,647 55,942 27,971 83,914 41,957 125,872 62,936 31,468 15,734 7,867 23,602 11,801 35,404 17,702 8,851 26,554 13,277 39,832 19,916 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202

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