4,068,075

3 × 5² × 11 × 4931

4,068,075 factors as 3 × 5^2 × 11 × 4931. Its 24 positive divisors give a proper-divisor sum of 3,270,741, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 4931

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,338,816

Proper Divisor Sum 3,270,741

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4068073 ← → #4068107

Radix Representation

Decimal	4068075
Binary	1111100001001011101011 (22 bits)
Octal	0o17411353
Hexadecimal	0x3E12EB

Divisor Catalog (24)

1 3 5 11 15 25 33 55 75 165 275 825 4,931 14,793 24,655 54,241 73,965 123,275 162,723 271,205 369,825 813,615 1,356,025 4,068,075

Collatz Trajectory (198 steps to reach 1)

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

4,068,075 12,204,226 6,102,113 18,306,340 9,153,170 4,576,585 13,729,756 6,864,878 3,432,439 10,297,318 5,148,659 15,445,978 7,722,989 23,168,968 11,584,484 5,792,242 2,896,121 8,688,364 4,344,182 2,172,091 6,516,274 3,258,137 9,774,412 4,887,206 2,443,603 7,330,810 3,665,405 10,996,216 5,498,108 2,749,054 1,374,527 4,123,582 2,061,791 6,185,374 3,092,687 9,278,062 4,639,031 13,917,094 6,958,547 20,875,642 10,437,821 31,313,464 15,656,732 7,828,366 3,914,183 11,742,550 5,871,275 17,613,826 8,806,913 26,420,740 13,210,370 6,605,185 19,815,556 9,907,778 4,953,889 14,861,668 7,430,834 3,715,417 11,146,252 5,573,126

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