λ
Sigma Notebook

9,073,000

23 × 53 × 43 × 211
Abundant Even Composite

9,073,000 is even and not a perfect square. Its factorization is 2^3 × 5^3 × 43 × 211 and its 64 divisors sum to 21,827,520.

Prime Factor Structure

Factorization String 2^3 × 5^3 × 43 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 21,827,520
Proper Divisor Sum 12,754,520
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #9072997 ← → #9073003

Radix Representation

Decimal 9073000
Binary 100010100111000101101000 (24 bits)
Octal 0o42470550
Hexadecimal 0x8A7168

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 211 215 250 344 422 430 500 844 860 1,000 1,055 1,075 1,688 1,720 2,110 2,150 4,220 4,300 5,275 5,375 8,440 8,600 9,073 10,550 10,750 18,146 21,100 21,500 26,375 36,292 42,200 43,000 45,365 52,750 72,584 90,730 105,500 181,460 211,000 226,825 362,920 453,650 907,300 1,134,125

Collatz Trajectory (194 steps to reach 1)

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

9,073,000 4,536,500 2,268,250 1,134,125 3,402,376 1,701,188 850,594 425,297 1,275,892 637,946 318,973 956,920 478,460 239,230 119,615 358,846 179,423 538,270 269,135 807,406 403,703 1,211,110 605,555 1,816,666 908,333 2,725,000 1,362,500 681,250 340,625 1,021,876 510,938 255,469 766,408 383,204 191,602 95,801 287,404 143,702 71,851 215,554 107,777 323,332 161,666 80,833 242,500 121,250 60,625 181,876 90,938 45,469 136,408 68,204 34,102 17,051 51,154 25,577 76,732 38,366 19,183 57,550

More profiles

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