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Atlas › Integer Profiles › Node 3,918,484

3,918,484

22 × 19 × 47 × 1097
Deficient Even Composite

3,918,484 factors as 2^2 × 19 × 47 × 1097. Its 24 positive divisors give a proper-divisor sum of 3,460,076, so this integer is deficient. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 47 × 1097
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,378,560
Proper Divisor Sum 3,460,076
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3918443 ← → #3918491

Radix Representation

Decimal 3918484
Binary 1110111100101010010100 (22 bits)
Octal 0o16745224
Hexadecimal 0x3BCA94

Divisor Catalog (24)

1 2 4 19 38 47 76 94 188 893 1,097 1,786 2,194 3,572 4,388 20,843 41,686 51,559 83,372 103,118 206,236 979,621 1,959,242 3,918,484

Collatz Trajectory (216 steps to reach 1)

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

3,918,484 1,959,242 979,621 2,938,864 1,469,432 734,716 367,358 183,679 551,038 275,519 826,558 413,279 1,239,838 619,919 1,859,758 929,879 2,789,638 1,394,819 4,184,458 2,092,229 6,276,688 3,138,344 1,569,172 784,586 392,293 1,176,880 588,440 294,220 147,110 73,555 220,666 110,333 331,000 165,500 82,750 41,375 124,126 62,063 186,190 93,095 279,286 139,643 418,930 209,465 628,396 314,198 157,099 471,298 235,649 706,948 353,474 176,737 530,212 265,106 132,553 397,660 198,830 99,415 298,246 149,123

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