13,211,300

2² × 5² × 132113

13,211,300 factors as 2^2 × 5^2 × 132113. Its 18 positive divisors give a proper-divisor sum of 15,457,438, so this integer is abundant. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 132113

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 28,668,738

Proper Divisor Sum 15,457,438

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #13211273 ← → #13211311

Radix Representation

Decimal	13211300
Binary	110010011001011010100100 (24 bits)
Octal	0o62313244
Hexadecimal	0xC996A4

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 132,113 264,226 528,452 660,565 1,321,130 2,642,260 3,302,825 6,605,650 13,211,300

Collatz Trajectory (171 steps to reach 1)

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

13,211,300 6,605,650 3,302,825 9,908,476 4,954,238 2,477,119 7,431,358 3,715,679 11,147,038 5,573,519 16,720,558 8,360,279 25,080,838 12,540,419 37,621,258 18,810,629 56,431,888 28,215,944 14,107,972 7,053,986 3,526,993 10,580,980 5,290,490 2,645,245 7,935,736 3,967,868 1,983,934 991,967 2,975,902 1,487,951 4,463,854 2,231,927 6,695,782 3,347,891 10,043,674 5,021,837 15,065,512 7,532,756 3,766,378 1,883,189 5,649,568 2,824,784 1,412,392 706,196 353,098 176,549 529,648 264,824 132,412 66,206 33,103 99,310 49,655 148,966 74,483 223,450 111,725 335,176 167,588 83,794

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