6,324,320

2⁵ × 5 × 29² × 47

6,324,320 is even and not a perfect square. Its factorization is 2^5 × 5 × 29^2 × 47 and its 72 divisors sum to 15,803,424.

Prime Factor Structure

Factorization String 2^5 × 5 × 29^2 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 15,803,424

Proper Divisor Sum 9,479,104

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #6324313 ← → #6324337

Radix Representation

Decimal	6324320
Binary	11000001000000001100000 (23 bits)
Octal	0o30100140
Hexadecimal	0x608060

Divisor Catalog (60 of 72)

1 2 4 5 8 10 16 20 29 32 40 47 58 80 94 116 145 160 188 232 235 290 376 464 470 580 752 841 928 940 1,160 1,363 1,504 1,682 1,880 2,320 2,726 3,364 3,760 4,205 4,640 5,452 6,728 6,815 7,520 8,410 10,904 13,456 13,630 16,820 21,808 26,912 27,260 33,640 39,527 43,616 54,520 67,280 79,054 109,040

Collatz Trajectory (59 steps to reach 1)

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

6,324,320 3,162,160 1,581,080 790,540 395,270 197,635 592,906 296,453 889,360 444,680 222,340 111,170 55,585 166,756 83,378 41,689 125,068 62,534 31,267 93,802 46,901 140,704 70,352 35,176 17,588 8,794 4,397 13,192 6,596 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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