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Atlas › Integer Profiles › Node 3,339,738

3,339,738

2 × 33 × 23 × 2689
Abundant Even Composite

3,339,738 factors as 2 × 3^3 × 23 × 2689. Its 32 positive divisors give a proper-divisor sum of 4,407,462, so this integer is abundant. The Collatz stopping time is 345 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 23 × 2689
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,747,200
Proper Divisor Sum 4,407,462
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3339709 ← → #3339751

Radix Representation

Decimal 3339738
Binary 1100101111010111011010 (22 bits)
Octal 0o14572732
Hexadecimal 0x32F5DA

Divisor Catalog (32)

1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1,242 2,689 5,378 8,067 16,134 24,201 48,402 61,847 72,603 123,694 145,206 185,541 371,082 556,623 1,113,246 1,669,869 3,339,738

Collatz Trajectory (345 steps to reach 1)

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

3,339,738 1,669,869 5,009,608 2,504,804 1,252,402 626,201 1,878,604 939,302 469,651 1,408,954 704,477 2,113,432 1,056,716 528,358 264,179 792,538 396,269 1,188,808 594,404 297,202 148,601 445,804 222,902 111,451 334,354 167,177 501,532 250,766 125,383 376,150 188,075 564,226 282,113 846,340 423,170 211,585 634,756 317,378 158,689 476,068 238,034 119,017 357,052 178,526 89,263 267,790 133,895 401,686 200,843 602,530 301,265 903,796 451,898 225,949 677,848 338,924 169,462 84,731 254,194 127,097

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