λ
Sigma Notebook

393,358

2 × 7 × 28097
Deficient Even Composite

393,358 is even and not a perfect square. Its factorization is 2 × 7 × 28097 and its 8 divisors sum to 674,352.

Prime Factor Structure

Factorization String 2 × 7 × 28097
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 674,352
Proper Divisor Sum 280,994
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #393331 ← → #393361

Radix Representation

Decimal 393358
Binary 1100000000010001110 (19 bits)
Octal 0o1400216
Hexadecimal 0x6008E

Divisor Catalog (8)

1 2 7 14 28,097 56,194 196,679 393,358

Collatz Trajectory (130 steps to reach 1)

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

393,358 196,679 590,038 295,019 885,058 442,529 1,327,588 663,794 331,897 995,692 497,846 248,923 746,770 373,385 1,120,156 560,078 280,039 840,118 420,059 1,260,178 630,089 1,890,268 945,134 472,567 1,417,702 708,851 2,126,554 1,063,277 3,189,832 1,594,916 797,458 398,729 1,196,188 598,094 299,047 897,142 448,571 1,345,714 672,857 2,018,572 1,009,286 504,643 1,513,930 756,965 2,270,896 1,135,448 567,724 283,862 141,931 425,794 212,897 638,692 319,346 159,673 479,020 239,510 119,755 359,266 179,633 538,900

More profiles

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