3,721,275

3³ × 5² × 37 × 149

3,721,275 has the prime decomposition 3^3 × 5^2 × 37 × 149. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 37 × 149

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,068,000

Proper Divisor Sum 3,346,725

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3721273 ← → #3721279

Radix Representation

Decimal	3721275
Binary	1110001100100000111011 (22 bits)
Octal	0o16144073
Hexadecimal	0x38C83B

Divisor Catalog (48)

1 3 5 9 15 25 27 37 45 75 111 135 149 185 225 333 447 555 675 745 925 999 1,341 1,665 2,235 2,775 3,725 4,023 4,995 5,513 6,705 8,325 11,175 16,539 20,115 24,975 27,565 33,525 49,617 82,695 100,575 137,825 148,851 248,085 413,475 744,255 1,240,425 3,721,275

Collatz Trajectory (110 steps to reach 1)

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

3,721,275 11,163,826 5,581,913 16,745,740 8,372,870 4,186,435 12,559,306 6,279,653 18,838,960 9,419,480 4,709,740 2,354,870 1,177,435 3,532,306 1,766,153 5,298,460 2,649,230 1,324,615 3,973,846 1,986,923 5,960,770 2,980,385 8,941,156 4,470,578 2,235,289 6,705,868 3,352,934 1,676,467 5,029,402 2,514,701 7,544,104 3,772,052 1,886,026 943,013 2,829,040 1,414,520 707,260 353,630 176,815 530,446 265,223 795,670 397,835 1,193,506 596,753 1,790,260 895,130 447,565 1,342,696 671,348 335,674 167,837 503,512 251,756 125,878 62,939 188,818 94,409 283,228 141,614

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