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Atlas › Integer Profiles › Node 8,945,288

8,945,288

23 × 112 × 9241
Abundant Even Composite

8,945,288 factors as 2^3 × 11^2 × 9241. Its 24 positive divisors give a proper-divisor sum of 9,492,502, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^3 × 11^2 × 9241
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,437,790
Proper Divisor Sum 9,492,502
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #8945273 ← → #8945309

Radix Representation

Decimal 8945288
Binary 100010000111111010001000 (24 bits)
Octal 0o42077210
Hexadecimal 0x887E88

Divisor Catalog (24)

1 2 4 8 11 22 44 88 121 242 484 968 9,241 18,482 36,964 73,928 101,651 203,302 406,604 813,208 1,118,161 2,236,322 4,472,644 8,945,288

Collatz Trajectory (119 steps to reach 1)

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

8,945,288 4,472,644 2,236,322 1,118,161 3,354,484 1,677,242 838,621 2,515,864 1,257,932 628,966 314,483 943,450 471,725 1,415,176 707,588 353,794 176,897 530,692 265,346 132,673 398,020 199,010 99,505 298,516 149,258 74,629 223,888 111,944 55,972 27,986 13,993 41,980 20,990 10,495 31,486 15,743 47,230 23,615 70,846 35,423 106,270 53,135 159,406 79,703 239,110 119,555 358,666 179,333 538,000 269,000 134,500 67,250 33,625 100,876 50,438 25,219 75,658 37,829 113,488 56,744

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