4,086,405

3² × 5 × 71 × 1279

4,086,405 factors as 3^2 × 5 × 71 × 1279. Its 24 positive divisors give a proper-divisor sum of 3,102,075, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 71 × 1279

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,188,480

Proper Divisor Sum 3,102,075

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4086403 ← → #4086413

Radix Representation

Decimal	4086405
Binary	1111100101101010000101 (22 bits)
Octal	0o17455205
Hexadecimal	0x3E5A85

Divisor Catalog (24)

Collatz Trajectory (123 steps to reach 1)

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

4,086,405 12,259,216 6,129,608 3,064,804 1,532,402 766,201 2,298,604 1,149,302 574,651 1,723,954 861,977 2,585,932 1,292,966 646,483 1,939,450 969,725 2,909,176 1,454,588 727,294 363,647 1,090,942 545,471 1,636,414 818,207 2,454,622 1,227,311 3,681,934 1,840,967 5,522,902 2,761,451 8,284,354 4,142,177 12,426,532 6,213,266 3,106,633 9,319,900 4,659,950 2,329,975 6,989,926 3,494,963 10,484,890 5,242,445 15,727,336 7,863,668 3,931,834 1,965,917 5,897,752 2,948,876 1,474,438 737,219 2,211,658 1,105,829 3,317,488 1,658,744 829,372 414,686 207,343 622,030 311,015 933,046

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