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Atlas › Integer Profiles › Node 3,973,986

3,973,986

2 × 32 × 23 × 29 × 331
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 29 × 331
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,322,560
Proper Divisor Sum 5,348,574
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #3973973 ← → #3973997

Radix Representation

Decimal 3973986
Binary 1111001010001101100010 (22 bits)
Octal 0o17121542
Hexadecimal 0x3CA362

Divisor Catalog (48)

1 2 3 6 9 18 23 29 46 58 69 87 138 174 207 261 331 414 522 662 667 993 1,334 1,986 2,001 2,979 4,002 5,958 6,003 7,613 9,599 12,006 15,226 19,198 22,839 28,797 45,678 57,594 68,517 86,391 137,034 172,782 220,777 441,554 662,331 1,324,662 1,986,993 3,973,986

Collatz Trajectory (123 steps to reach 1)

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

3,973,986 1,986,993 5,960,980 2,980,490 1,490,245 4,470,736 2,235,368 1,117,684 558,842 279,421 838,264 419,132 209,566 104,783 314,350 157,175 471,526 235,763 707,290 353,645 1,060,936 530,468 265,234 132,617 397,852 198,926 99,463 298,390 149,195 447,586 223,793 671,380 335,690 167,845 503,536 251,768 125,884 62,942 31,471 94,414 47,207 141,622 70,811 212,434 106,217 318,652 159,326 79,663 238,990 119,495 358,486 179,243 537,730 268,865 806,596 403,298 201,649 604,948 302,474 151,237

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