4,032,272

2⁴ × 252017

4,032,272 factors as 2^4 × 252017. Its 10 positive divisors give a proper-divisor sum of 3,780,286, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^4 × 252017

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 7,812,558

Proper Divisor Sum 3,780,286

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #4032269 ← → #4032299

Radix Representation

Decimal	4032272
Binary	1111011000011100010000 (22 bits)
Octal	0o17303420
Hexadecimal	0x3D8710

Divisor Catalog (10)

1 2 4 8 16 252,017 504,034 1,008,068 2,016,136 4,032,272

Collatz Trajectory (136 steps to reach 1)

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

4,032,272 2,016,136 1,008,068 504,034 252,017 756,052 378,026 189,013 567,040 283,520 141,760 70,880 35,440 17,720 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574

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