λ
Sequence Observatory

429,773

429773
Deficient Odd Prime

Starting at 429,773, the Collatz iteration reaches 1 after 143 steps. The first transition is 1289320; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 429773
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 429,774
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #429733 ← → #429791

Radix Representation

Decimal 429773
Binary 1101000111011001101 (19 bits)
Octal 0o1507315
Hexadecimal 0x68ECD

Divisor Catalog (2)

Collatz Trajectory (143 steps to reach 1)

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

429,773 1,289,320 644,660 322,330 161,165 483,496 241,748 120,874 60,437 181,312 90,656 45,328 22,664 11,332 5,666 2,833 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466

More profiles

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