6,409,200

2⁴ × 3 × 5² × 7² × 109

6,409,200 is even and not a perfect square. Its factorization is 2^4 × 3 × 5^2 × 7^2 × 109 and its 180 divisors sum to 24,101,880.

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 7^2 × 109

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 180

Divisor Sum (σ) 24,101,880

Proper Divisor Sum 17,692,680

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #6409189 ← → #6409201

Radix Representation

Decimal	6409200
Binary	11000011100101111110000 (23 bits)
Octal	0o30345760
Hexadecimal	0x61CBF0

Divisor Catalog (60 of 180)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 49 50 56 60 70 75 80 84 98 100 105 109 112 120 140 147 150 168 175 196 200 210 218 240 245 280 294 300 327 336 350 392 400 420 436 490 525

Collatz Trajectory (103 steps to reach 1)

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

6,409,200 3,204,600 1,602,300 801,150 400,575 1,201,726 600,863 1,802,590 901,295 2,703,886 1,351,943 4,055,830 2,027,915 6,083,746 3,041,873 9,125,620 4,562,810 2,281,405 6,844,216 3,422,108 1,711,054 855,527 2,566,582 1,283,291 3,849,874 1,924,937 5,774,812 2,887,406 1,443,703 4,331,110 2,165,555 6,496,666 3,248,333 9,745,000 4,872,500 2,436,250 1,218,125 3,654,376 1,827,188 913,594 456,797 1,370,392 685,196 342,598 171,299 513,898 256,949 770,848 385,424 192,712 96,356 48,178 24,089 72,268 36,134 18,067 54,202 27,101 81,304 40,652

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