6,404,400

2⁴ × 3³ × 5² × 593

6,404,400 is even and not a perfect square. Its factorization is 2^4 × 3^3 × 5^2 × 593 and its 120 divisors sum to 22,833,360.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 5^2 × 593

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 22,833,360

Proper Divisor Sum 16,428,960

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #6404381 ← → #6404401

Radix Representation

Decimal	6404400
Binary	11000011011100100110000 (23 bits)
Octal	0o30334460
Hexadecimal	0x61B930

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 593 600 675 720 900 1,080 1,186 1,200 1,350 1,779 1,800 2,160 2,372

Collatz Trajectory (121 steps to reach 1)

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

6,404,400 3,202,200 1,601,100 800,550 400,275 1,200,826 600,413 1,801,240 900,620 450,310 225,155 675,466 337,733 1,013,200 506,600 253,300 126,650 63,325 189,976 94,988 47,494 23,747 71,242 35,621 106,864 53,432 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133

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