λ
Sigma Notebook

398,331

33 × 14753
Deficient Odd Composite

398,331 is odd and not a perfect square. Its factorization is 3^3 × 14753 and its 8 divisors sum to 590,160.

Prime Factor Structure

Factorization String 3^3 × 14753
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 590,160
Proper Divisor Sum 191,829
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #398323 ← → #398339

Radix Representation

Decimal 398331
Binary 1100001001111111011 (19 bits)
Octal 0o1411773
Hexadecimal 0x613FB

Divisor Catalog (8)

1 3 9 27 14,753 44,259 132,777 398,331

Collatz Trajectory (117 steps to reach 1)

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

398,331 1,194,994 597,497 1,792,492 896,246 448,123 1,344,370 672,185 2,016,556 1,008,278 504,139 1,512,418 756,209 2,268,628 1,134,314 567,157 1,701,472 850,736 425,368 212,684 106,342 53,171 159,514 79,757 239,272 119,636 59,818 29,909 89,728 44,864 22,432 11,216 5,608 2,804 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425

More profiles

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