33,765,275

5² × 37 × 173 × 211

33,765,275 factors as 5^2 × 37 × 173 × 211. Its 24 positive divisors give a proper-divisor sum of 9,688,789, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 5^2 × 37 × 173 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 43,454,064

Proper Divisor Sum 9,688,789

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #33765271 ← → #33765283

Radix Representation

Decimal	33765275
Binary	10000000110011011110011011 (26 bits)
Octal	0o200633633
Hexadecimal	0x203379B

Divisor Catalog (24)

Collatz Trajectory (131 steps to reach 1)

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

33,765,275 101,295,826 50,647,913 151,943,740 75,971,870 37,985,935 113,957,806 56,978,903 170,936,710 85,468,355 256,405,066 128,202,533 384,607,600 192,303,800 96,151,900 48,075,950 24,037,975 72,113,926 36,056,963 108,170,890 54,085,445 162,256,336 81,128,168 40,564,084 20,282,042 10,141,021 30,423,064 15,211,532 7,605,766 3,802,883 11,408,650 5,704,325 17,112,976 8,556,488 4,278,244 2,139,122 1,069,561 3,208,684 1,604,342 802,171 2,406,514 1,203,257 3,609,772 1,804,886 902,443 2,707,330 1,353,665 4,060,996 2,030,498 1,015,249 3,045,748 1,522,874 761,437 2,284,312 1,142,156 571,078 285,539 856,618 428,309 1,284,928

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