λ
Sigma Notebook

1,993,270

2 × 5 × 47 × 4241
Deficient Even Composite

1,993,270 is even and not a perfect square. Its factorization is 2 × 5 × 47 × 4241 and its 16 divisors sum to 3,665,088.

Prime Factor Structure

Factorization String 2 × 5 × 47 × 4241
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,665,088
Proper Divisor Sum 1,671,818
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1993261 ← → #1993273

Radix Representation

Decimal 1993270
Binary 111100110101000110110 (21 bits)
Octal 0o7465066
Hexadecimal 0x1E6A36

Divisor Catalog (16)

1 2 5 10 47 94 235 470 4,241 8,482 21,205 42,410 199,327 398,654 996,635 1,993,270

Collatz Trajectory (215 steps to reach 1)

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

1,993,270 996,635 2,989,906 1,494,953 4,484,860 2,242,430 1,121,215 3,363,646 1,681,823 5,045,470 2,522,735 7,568,206 3,784,103 11,352,310 5,676,155 17,028,466 8,514,233 25,542,700 12,771,350 6,385,675 19,157,026 9,578,513 28,735,540 14,367,770 7,183,885 21,551,656 10,775,828 5,387,914 2,693,957 8,081,872 4,040,936 2,020,468 1,010,234 505,117 1,515,352 757,676 378,838 189,419 568,258 284,129 852,388 426,194 213,097 639,292 319,646 159,823 479,470 239,735 719,206 359,603 1,078,810 539,405 1,618,216 809,108 404,554 202,277 606,832 303,416 151,708 75,854

More profiles

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