2,648,800

2⁵ × 5² × 7 × 11 × 43

2,648,800 is even and not a perfect square. Its factorization is 2^5 × 5^2 × 7 × 11 × 43 and its 144 divisors sum to 8,249,472.

Prime Factor Structure

Factorization String 2^5 × 5^2 × 7 × 11 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 8,249,472

Proper Divisor Sum 5,600,672

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2648761 ← → #2648801

Radix Representation

Decimal	2648800
Binary	1010000110101011100000 (22 bits)
Octal	0o12065340
Hexadecimal	0x286AE0

Divisor Catalog (60 of 144)

1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 43 44 50 55 56 70 77 80 86 88 100 110 112 140 154 160 172 175 176 200 215 220 224 275 280 301 308 344 350 352 385 400 430 440 473 550 560 602 616 688 700 770 800

Collatz Trajectory (94 steps to reach 1)

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

2,648,800 1,324,400 662,200 331,100 165,550 82,775 248,326 124,163 372,490 186,245 558,736 279,368 139,684 69,842 34,921 104,764 52,382 26,191 78,574 39,287 117,862 58,931 176,794 88,397 265,192 132,596 66,298 33,149 99,448 49,724 24,862 12,431 37,294 18,647 55,942 27,971 83,914 41,957 125,872 62,936 31,468 15,734 7,867 23,602 11,801 35,404 17,702 8,851 26,554 13,277 39,832 19,916 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801

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