3,390,744

2³ × 3 × 7 × 20183

3,390,744 factors as 2^3 × 3 × 7 × 20183. Its 32 positive divisors give a proper-divisor sum of 6,297,576, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 20183

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,688,320

Proper Divisor Sum 6,297,576

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3390743 ← → #3390763

Radix Representation

Decimal	3390744
Binary	1100111011110100011000 (22 bits)
Octal	0o14736430
Hexadecimal	0x33BD18

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 20,183 40,366 60,549 80,732 121,098 141,281 161,464 242,196 282,562 423,843 484,392 565,124 847,686 1,130,248 1,695,372 3,390,744

Collatz Trajectory (133 steps to reach 1)

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

3,390,744 1,695,372 847,686 423,843 1,271,530 635,765 1,907,296 953,648 476,824 238,412 119,206 59,603 178,810 89,405 268,216 134,108 67,054 33,527 100,582 50,291 150,874 75,437 226,312 113,156 56,578 28,289 84,868 42,434 21,217 63,652 31,826 15,913 47,740 23,870 11,935 35,806 17,903 53,710 26,855 80,566 40,283 120,850 60,425 181,276 90,638 45,319 135,958 67,979 203,938 101,969 305,908 152,954 76,477 229,432 114,716 57,358 28,679 86,038 43,019 129,058

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