λ
Sequence Observatory

398,369

398369
Deficient Odd Prime

Starting at 398,369, the Collatz iteration reaches 1 after 143 steps. The first transition is 1195108; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 398369
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 398,370
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #398357 ← → #398393

Radix Representation

Decimal 398369
Binary 1100001010000100001 (19 bits)
Octal 0o1412041
Hexadecimal 0x61421

Divisor Catalog (2)

Collatz Trajectory (143 steps to reach 1)

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

398,369 1,195,108 597,554 298,777 896,332 448,166 224,083 672,250 336,125 1,008,376 504,188 252,094 126,047 378,142 189,071 567,214 283,607 850,822 425,411 1,276,234 638,117 1,914,352 957,176 478,588 239,294 119,647 358,942 179,471 538,414 269,207 807,622 403,811 1,211,434 605,717 1,817,152 908,576 454,288 227,144 113,572 56,786 28,393 85,180 42,590 21,295 63,886 31,943 95,830 47,915 143,746 71,873 215,620 107,810 53,905 161,716 80,858 40,429 121,288 60,644 30,322 15,161

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