3,306,446

2 × 11² × 13 × 1051

3,306,446 has the prime decomposition 2 × 11^2 × 13 × 1051. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 11^2 × 13 × 1051

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,876,472

Proper Divisor Sum 2,570,026

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3306427 ← → #3306451

Radix Representation

Decimal	3306446
Binary	1100100111001111001110 (22 bits)
Octal	0o14471716
Hexadecimal	0x3273CE

Divisor Catalog (24)

1 2 11 13 22 26 121 143 242 286 1,051 1,573 2,102 3,146 11,561 13,663 23,122 27,326 127,171 150,293 254,342 300,586 1,653,223 3,306,446

Collatz Trajectory (115 steps to reach 1)

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

3,306,446 1,653,223 4,959,670 2,479,835 7,439,506 3,719,753 11,159,260 5,579,630 2,789,815 8,369,446 4,184,723 12,554,170 6,277,085 18,831,256 9,415,628 4,707,814 2,353,907 7,061,722 3,530,861 10,592,584 5,296,292 2,648,146 1,324,073 3,972,220 1,986,110 993,055 2,979,166 1,489,583 4,468,750 2,234,375 6,703,126 3,351,563 10,054,690 5,027,345 15,082,036 7,541,018 3,770,509 11,311,528 5,655,764 2,827,882 1,413,941 4,241,824 2,120,912 1,060,456 530,228 265,114 132,557 397,672 198,836 99,418 49,709 149,128 74,564 37,282 18,641 55,924 27,962 13,981 41,944 20,972

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