3,630,900

2² × 3 × 5² × 7² × 13 × 19

3,630,900 factors as 2^2 × 3 × 5^2 × 7^2 × 13 × 19. Its 216 positive divisors give a proper-divisor sum of 10,222,380, so this integer is abundant. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 7^2 × 13 × 19

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 216

Divisor Sum (σ) 13,853,280

Proper Divisor Sum 10,222,380

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3630883 ← → #3630901

Radix Representation

Decimal	3630900
Binary	1101110110011100110100 (22 bits)
Octal	0o15663464
Hexadecimal	0x376734

Divisor Catalog (60 of 216)

1 2 3 4 5 6 7 10 12 13 14 15 19 20 21 25 26 28 30 35 38 39 42 49 50 52 57 60 65 70 75 76 78 84 91 95 98 100 105 114 130 133 140 147 150 156 175 182 190 195 196 210 228 245 247 260 266 273 285 294

Collatz Trajectory (71 steps to reach 1)

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

3,630,900 1,815,450 907,725 2,723,176 1,361,588 680,794 340,397 1,021,192 510,596 255,298 127,649 382,948 191,474 95,737 287,212 143,606 71,803 215,410 107,705 323,116 161,558 80,779 242,338 121,169 363,508 181,754 90,877 272,632 136,316 68,158 34,079 102,238 51,119 153,358 76,679 230,038 115,019 345,058 172,529 517,588 258,794 129,397 388,192 194,096 97,048 48,524 24,262 12,131 36,394 18,197 54,592 27,296 13,648 6,824 3,412 1,706 853 2,560 1,280 640

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