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Atlas › Integer Profiles › Node 10,991,200

10,991,200

25 × 52 × 11 × 1249
Abundant Even Composite

10,991,200 factors as 2^5 × 5^2 × 11 × 1249. Its 72 positive divisors give a proper-divisor sum of 18,303,800, so this integer is abundant. The Collatz stopping time is 57 steps.

Prime Factor Structure

Factorization String 2^5 × 5^2 × 11 × 1249
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 29,295,000
Proper Divisor Sum 18,303,800
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #10991173 ← → #10991207

Radix Representation

Decimal 10991200
Binary 101001111011011001100000 (24 bits)
Octal 0o51733140
Hexadecimal 0xA7B660

Divisor Catalog (60 of 72)

1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1,100 1,249 1,760 2,200 2,498 4,400 4,996 6,245 8,800 9,992 12,490 13,739 19,984 24,980 27,478 31,225 39,968 49,960 54,956 62,450 68,695 99,920 109,912 124,900 137,390 199,840 219,824 249,800 274,780

Collatz Trajectory (57 steps to reach 1)

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

10,991,200 5,495,600 2,747,800 1,373,900 686,950 343,475 1,030,426 515,213 1,545,640 772,820 386,410 193,205 579,616 289,808 144,904 72,452 36,226 18,113 54,340 27,170 13,585 40,756 20,378 10,189 30,568 15,284 7,642 3,821 11,464 5,732 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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