3,544,800

2⁵ × 3 × 5² × 7 × 211

3,544,800 factors as 2^5 × 3 × 5^2 × 7 × 211. Its 144 positive divisors give a proper-divisor sum of 9,704,352, so this integer is abundant. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 7 × 211

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 13,249,152

Proper Divisor Sum 9,704,352

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3544777 ← → #3544837

Radix Representation

Decimal	3544800
Binary	1101100001011011100000 (22 bits)
Octal	0o15413340
Hexadecimal	0x3616E0

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 211 224 240 280 300 336 350 400 420 422 480 525 560 600 633 672 700

Collatz Trajectory (234 steps to reach 1)

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

3,544,800 1,772,400 886,200 443,100 221,550 110,775 332,326 166,163 498,490 249,245 747,736 373,868 186,934 93,467 280,402 140,201 420,604 210,302 105,151 315,454 157,727 473,182 236,591 709,774 354,887 1,064,662 532,331 1,596,994 798,497 2,395,492 1,197,746 598,873 1,796,620 898,310 449,155 1,347,466 673,733 2,021,200 1,010,600 505,300 252,650 126,325 378,976 189,488 94,744 47,372 23,686 11,843 35,530 17,765 53,296 26,648 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748

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