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Atlas › Integer Profiles › Node 3,924,744

3,924,744

23 × 3 × 29 × 5639
Abundant Even Composite

3,924,744 factors as 2^3 × 3 × 29 × 5639. Its 32 positive divisors give a proper-divisor sum of 6,227,256, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 29 × 5639
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,152,000
Proper Divisor Sum 6,227,256
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3924731 ← → #3924757

Radix Representation

Decimal 3924744
Binary 1110111110001100001000 (22 bits)
Octal 0o16761410
Hexadecimal 0x3BE308

Divisor Catalog (32)

1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 5,639 11,278 16,917 22,556 33,834 45,112 67,668 135,336 163,531 327,062 490,593 654,124 981,186 1,308,248 1,962,372 3,924,744

Collatz Trajectory (92 steps to reach 1)

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

3,924,744 1,962,372 981,186 490,593 1,471,780 735,890 367,945 1,103,836 551,918 275,959 827,878 413,939 1,241,818 620,909 1,862,728 931,364 465,682 232,841 698,524 349,262 174,631 523,894 261,947 785,842 392,921 1,178,764 589,382 294,691 884,074 442,037 1,326,112 663,056 331,528 165,764 82,882 41,441 124,324 62,162 31,081 93,244 46,622 23,311 69,934 34,967 104,902 52,451 157,354 78,677 236,032 118,016 59,008 29,504 14,752 7,376 3,688 1,844 922 461 1,384 692

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