λ
Sequence Observatory

334,403

334403
Deficient Odd Prime

Starting at 334,403, the Collatz iteration reaches 1 after 109 steps. The first transition is 1003210; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 334403
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 334,404
Proper Divisor Sum 1
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #334393 ← → #334421

Radix Representation

Decimal 334403
Binary 1010001101001000011 (19 bits)
Octal 0o1215103
Hexadecimal 0x51A43

Divisor Catalog (2)

Collatz Trajectory (109 steps to reach 1)

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

334,403 1,003,210 501,605 1,504,816 752,408 376,204 188,102 94,051 282,154 141,077 423,232 211,616 105,808 52,904 26,452 13,226 6,613 19,840 9,920 4,960 2,480 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158

More profiles

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