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Atlas › Integer Profiles › Node 11,628,448

11,628,448

25 × 13 × 27953
Abundant Even Composite

11,628,448 factors as 2^5 × 13 × 27953. Its 24 positive divisors give a proper-divisor sum of 13,026,980, so this integer is abundant. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 27953
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 24,655,428
Proper Divisor Sum 13,026,980
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #11628413 ← → #11628467

Radix Representation

Decimal 11628448
Binary 101100010110111110100000 (24 bits)
Octal 0o54267640
Hexadecimal 0xB16FA0

Divisor Catalog (24)

1 2 4 8 13 16 26 32 52 104 208 416 27,953 55,906 111,812 223,624 363,389 447,248 726,778 894,496 1,453,556 2,907,112 5,814,224 11,628,448

Collatz Trajectory (171 steps to reach 1)

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

11,628,448 5,814,224 2,907,112 1,453,556 726,778 363,389 1,090,168 545,084 272,542 136,271 408,814 204,407 613,222 306,611 919,834 459,917 1,379,752 689,876 344,938 172,469 517,408 258,704 129,352 64,676 32,338 16,169 48,508 24,254 12,127 36,382 18,191 54,574 27,287 81,862 40,931 122,794 61,397 184,192 92,096 46,048 23,024 11,512 5,756 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302

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