4,466,727

3² × 496303

4,466,727 factors as 3^2 × 496303. Its 6 positive divisors give a proper-divisor sum of 1,985,225, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 3^2 × 496303

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 6,451,952

Proper Divisor Sum 1,985,225

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4466723 ← → #4466741

Radix Representation

Decimal	4466727
Binary	10001000010100000100111 (23 bits)
Octal	0o21024047
Hexadecimal	0x442827

Divisor Catalog (6)

1 3 9 496,303 1,488,909 4,466,727

Collatz Trajectory (118 steps to reach 1)

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

4,466,727 13,400,182 6,700,091 20,100,274 10,050,137 30,150,412 15,075,206 7,537,603 22,612,810 11,306,405 33,919,216 16,959,608 8,479,804 4,239,902 2,119,951 6,359,854 3,179,927 9,539,782 4,769,891 14,309,674 7,154,837 21,464,512 10,732,256 5,366,128 2,683,064 1,341,532 670,766 335,383 1,006,150 503,075 1,509,226 754,613 2,263,840 1,131,920 565,960 282,980 141,490 70,745 212,236 106,118 53,059 159,178 79,589 238,768 119,384 59,692 29,846 14,923 44,770 22,385 67,156 33,578 16,789 50,368 25,184 12,592 6,296 3,148 1,574 787

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