4,093,375

5³ × 11 × 13 × 229

4,093,375 factors as 5^3 × 11 × 13 × 229. Its 32 positive divisors give a proper-divisor sum of 1,934,465, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 5^3 × 11 × 13 × 229

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,027,840

Proper Divisor Sum 1,934,465

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4093367 ← → #4093391

Radix Representation

Decimal	4093375
Binary	1111100111010110111111 (22 bits)
Octal	0o17472677
Hexadecimal	0x3E75BF

Divisor Catalog (32)

Collatz Trajectory (167 steps to reach 1)

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

4,093,375 12,280,126 6,140,063 18,420,190 9,210,095 27,630,286 13,815,143 41,445,430 20,722,715 62,168,146 31,084,073 93,252,220 46,626,110 23,313,055 69,939,166 34,969,583 104,908,750 52,454,375 157,363,126 78,681,563 236,044,690 118,022,345 354,067,036 177,033,518 88,516,759 265,550,278 132,775,139 398,325,418 199,162,709 597,488,128 298,744,064 149,372,032 74,686,016 37,343,008 18,671,504 9,335,752 4,667,876 2,333,938 1,166,969 3,500,908 1,750,454 875,227 2,625,682 1,312,841 3,938,524 1,969,262 984,631 2,953,894 1,476,947 4,430,842 2,215,421 6,646,264 3,323,132 1,661,566 830,783 2,492,350 1,246,175 3,738,526 1,869,263 5,607,790

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