3,972,272

2⁴ × 248267

3,972,272 factors as 2^4 × 248267. Its 10 positive divisors give a proper-divisor sum of 3,724,036, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^4 × 248267

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 7,696,308

Proper Divisor Sum 3,724,036

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3972263 ← → #3972301

Radix Representation

Decimal	3972272
Binary	1111001001110010110000 (22 bits)
Octal	0o17116260
Hexadecimal	0x3C9CB0

Divisor Catalog (10)

1 2 4 8 16 248,267 496,534 993,068 1,986,136 3,972,272

Collatz Trajectory (92 steps to reach 1)

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

3,972,272 1,986,136 993,068 496,534 248,267 744,802 372,401 1,117,204 558,602 279,301 837,904 418,952 209,476 104,738 52,369 157,108 78,554 39,277 117,832 58,916 29,458 14,729 44,188 22,094 11,047 33,142 16,571 49,714 24,857 74,572 37,286 18,643 55,930 27,965 83,896 41,948 20,974 10,487 31,462 15,731 47,194 23,597 70,792 35,396 17,698 8,849 26,548 13,274 6,637 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202

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