4,089,285

3⁴ × 5 × 23 × 439

4,089,285 factors as 3^4 × 5 × 23 × 439. Its 40 positive divisors give a proper-divisor sum of 3,577,275, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 3^4 × 5 × 23 × 439

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 7,666,560

Proper Divisor Sum 3,577,275

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4089271 ← → #4089287

Radix Representation

Decimal	4089285
Binary	1111100110010111000101 (22 bits)
Octal	0o17462705
Hexadecimal	0x3E65C5

Divisor Catalog (40)

Collatz Trajectory (198 steps to reach 1)

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

4,089,285 12,267,856 6,133,928 3,066,964 1,533,482 766,741 2,300,224 1,150,112 575,056 287,528 143,764 71,882 35,941 107,824 53,912 26,956 13,478 6,739 20,218 10,109 30,328 15,164 7,582 3,791 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325

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