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Atlas › Integer Profiles › Node 3,976,336

3,976,336

24 × 7 × 13 × 2731
Abundant Even Composite

3,976,336 factors as 2^4 × 7 × 13 × 2731. Its 40 positive divisors give a proper-divisor sum of 5,509,168, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 13 × 2731
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,485,504
Proper Divisor Sum 5,509,168
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3976331 ← → #3976337

Radix Representation

Decimal 3976336
Binary 1111001010110010010000 (22 bits)
Octal 0o17126220
Hexadecimal 0x3CAC90

Divisor Catalog (40)

1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1,456 2,731 5,462 10,924 19,117 21,848 35,503 38,234 43,696 71,006 76,468 142,012 152,936 248,521 284,024 305,872 497,042 568,048 994,084 1,988,168 3,976,336

Collatz Trajectory (154 steps to reach 1)

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

3,976,336 1,988,168 994,084 497,042 248,521 745,564 372,782 186,391 559,174 279,587 838,762 419,381 1,258,144 629,072 314,536 157,268 78,634 39,317 117,952 58,976 29,488 14,744 7,372 3,686 1,843 5,530 2,765 8,296 4,148 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

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