λ
Sigma Notebook

8,781,250

2 × 56 × 281
Deficient Even Composite

8,781,250 is even and not a perfect square. Its factorization is 2 × 5^6 × 281 and its 28 divisors sum to 16,523,226.

Prime Factor Structure

Factorization String 2 × 5^6 × 281
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 16,523,226
Proper Divisor Sum 7,741,976
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8781233 ← → #8781259

Radix Representation

Decimal 8781250
Binary 100001011111110111000010 (24 bits)
Octal 0o41376702
Hexadecimal 0x85FDC2

Divisor Catalog (28)

1 2 5 10 25 50 125 250 281 562 625 1,250 1,405 2,810 3,125 6,250 7,025 14,050 15,625 31,250 35,125 70,250 175,625 351,250 878,125 1,756,250 4,390,625 8,781,250

Collatz Trajectory (119 steps to reach 1)

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

8,781,250 4,390,625 13,171,876 6,585,938 3,292,969 9,878,908 4,939,454 2,469,727 7,409,182 3,704,591 11,113,774 5,556,887 16,670,662 8,335,331 25,005,994 12,502,997 37,508,992 18,754,496 9,377,248 4,688,624 2,344,312 1,172,156 586,078 293,039 879,118 439,559 1,318,678 659,339 1,978,018 989,009 2,967,028 1,483,514 741,757 2,225,272 1,112,636 556,318 278,159 834,478 417,239 1,251,718 625,859 1,877,578 938,789 2,816,368 1,408,184 704,092 352,046 176,023 528,070 264,035 792,106 396,053 1,188,160 594,080 297,040 148,520 74,260 37,130 18,565 55,696

More profiles

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