3,344,766

2 × 3 × 557461

3,344,766 factors as 2 × 3 × 557461. Its 8 positive divisors give a proper-divisor sum of 3,344,778, so this integer is abundant. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2 × 3 × 557461

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,689,544

Proper Divisor Sum 3,344,778

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3344749 ← → #3344791

Radix Representation

Decimal	3344766
Binary	1100110000100101111110 (22 bits)
Octal	0o14604576
Hexadecimal	0x33097E

Divisor Catalog (8)

1 2 3 6 557,461 1,114,922 1,672,383 3,344,766

Collatz Trajectory (208 steps to reach 1)

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

3,344,766 1,672,383 5,017,150 2,508,575 7,525,726 3,762,863 11,288,590 5,644,295 16,932,886 8,466,443 25,399,330 12,699,665 38,098,996 19,049,498 9,524,749 28,574,248 14,287,124 7,143,562 3,571,781 10,715,344 5,357,672 2,678,836 1,339,418 669,709 2,009,128 1,004,564 502,282 251,141 753,424 376,712 188,356 94,178 47,089 141,268 70,634 35,317 105,952 52,976 26,488 13,244 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330

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