6,331,624

2³ × 13 × 23 × 2647

6,331,624 has the prime decomposition 2^3 × 13 × 23 × 2647. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13 × 23 × 2647

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,345,920

Proper Divisor Sum 7,014,296

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #6331609 ← → #6331669

Radix Representation

Decimal	6331624
Binary	11000001001110011101000 (23 bits)
Octal	0o30116350
Hexadecimal	0x609CE8

Divisor Catalog (32)

1 2 4 8 13 23 26 46 52 92 104 184 299 598 1,196 2,392 2,647 5,294 10,588 21,176 34,411 60,881 68,822 121,762 137,644 243,524 275,288 487,048 791,453 1,582,906 3,165,812 6,331,624

Collatz Trajectory (178 steps to reach 1)

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

6,331,624 3,165,812 1,582,906 791,453 2,374,360 1,187,180 593,590 296,795 890,386 445,193 1,335,580 667,790 333,895 1,001,686 500,843 1,502,530 751,265 2,253,796 1,126,898 563,449 1,690,348 845,174 422,587 1,267,762 633,881 1,901,644 950,822 475,411 1,426,234 713,117 2,139,352 1,069,676 534,838 267,419 802,258 401,129 1,203,388 601,694 300,847 902,542 451,271 1,353,814 676,907 2,030,722 1,015,361 3,046,084 1,523,042 761,521 2,284,564 1,142,282 571,141 1,713,424 856,712 428,356 214,178 107,089 321,268 160,634 80,317 240,952

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