λ
Sequence Observatory

682,303

682303
Deficient Odd Prime

Starting at 682,303, the Collatz iteration reaches 1 after 304 steps. The first transition is 2046910; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 682303
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 682,304
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #682291 ← → #682307

Radix Representation

Decimal 682303
Binary 10100110100100111111 (20 bits)
Octal 0o2464477
Hexadecimal 0xA693F

Divisor Catalog (2)

1 682,303

Collatz Trajectory (304 steps to reach 1)

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

682,303 2,046,910 1,023,455 3,070,366 1,535,183 4,605,550 2,302,775 6,908,326 3,454,163 10,362,490 5,181,245 15,543,736 7,771,868 3,885,934 1,942,967 5,828,902 2,914,451 8,743,354 4,371,677 13,115,032 6,557,516 3,278,758 1,639,379 4,918,138 2,459,069 7,377,208 3,688,604 1,844,302 922,151 2,766,454 1,383,227 4,149,682 2,074,841 6,224,524 3,112,262 1,556,131 4,668,394 2,334,197 7,002,592 3,501,296 1,750,648 875,324 437,662 218,831 656,494 328,247 984,742 492,371 1,477,114 738,557 2,215,672 1,107,836 553,918 276,959 830,878 415,439 1,246,318 623,159 1,869,478 934,739

More profiles

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