3,338,140

2² × 5 × 13 × 37 × 347

3,338,140 has the prime decomposition 2^2 × 5 × 13 × 37 × 347. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 37 × 347

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,775,712

Proper Divisor Sum 4,437,572

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3338131 ← → #3338143

Radix Representation

Decimal	3338140
Binary	1100101110111110011100 (22 bits)
Octal	0o14567634
Hexadecimal	0x32EF9C

Divisor Catalog (48)

1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 347 370 481 694 740 962 1,388 1,735 1,924 2,405 3,470 4,511 4,810 6,940 9,022 9,620 12,839 18,044 22,555 25,678 45,110 51,356 64,195 90,220 128,390 166,907 256,780 333,814 667,628 834,535 1,669,070 3,338,140

Collatz Trajectory (89 steps to reach 1)

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

3,338,140 1,669,070 834,535 2,503,606 1,251,803 3,755,410 1,877,705 5,633,116 2,816,558 1,408,279 4,224,838 2,112,419 6,337,258 3,168,629 9,505,888 4,752,944 2,376,472 1,188,236 594,118 297,059 891,178 445,589 1,336,768 668,384 334,192 167,096 83,548 41,774 20,887 62,662 31,331 93,994 46,997 140,992 70,496 35,248 17,624 8,812 4,406 2,203 6,610 3,305 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532

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