4,939,744

2⁵ × 29 × 5323

4,939,744 factors as 2^5 × 29 × 5323. Its 24 positive divisors give a proper-divisor sum of 5,122,616, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^5 × 29 × 5323

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,062,360

Proper Divisor Sum 5,122,616

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #4939729 ← → #4939751

Radix Representation

Decimal	4939744
Binary	10010110101111111100000 (23 bits)
Octal	0o22657740
Hexadecimal	0x4B5FE0

Divisor Catalog (24)

1 2 4 8 16 29 32 58 116 232 464 928 5,323 10,646 21,292 42,584 85,168 154,367 170,336 308,734 617,468 1,234,936 2,469,872 4,939,744

Collatz Trajectory (144 steps to reach 1)

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

4,939,744 2,469,872 1,234,936 617,468 308,734 154,367 463,102 231,551 694,654 347,327 1,041,982 520,991 1,562,974 781,487 2,344,462 1,172,231 3,516,694 1,758,347 5,275,042 2,637,521 7,912,564 3,956,282 1,978,141 5,934,424 2,967,212 1,483,606 741,803 2,225,410 1,112,705 3,338,116 1,669,058 834,529 2,503,588 1,251,794 625,897 1,877,692 938,846 469,423 1,408,270 704,135 2,112,406 1,056,203 3,168,610 1,584,305 4,752,916 2,376,458 1,188,229 3,564,688 1,782,344 891,172 445,586 222,793 668,380 334,190 167,095 501,286 250,643 751,930 375,965 1,127,896

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