λ
Sequence Observatory

343,307

343307
Deficient Odd Prime

Starting at 343,307, the Collatz iteration reaches 1 after 104 steps. The first transition is 1029922; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 343307
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 343,308
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #343303 ← → #343309

Radix Representation

Decimal 343307
Binary 1010011110100001011 (19 bits)
Octal 0o1236413
Hexadecimal 0x53D0B

Divisor Catalog (2)

1 343,307

Collatz Trajectory (104 steps to reach 1)

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

343,307 1,029,922 514,961 1,544,884 772,442 386,221 1,158,664 579,332 289,666 144,833 434,500 217,250 108,625 325,876 162,938 81,469 244,408 122,204 61,102 30,551 91,654 45,827 137,482 68,741 206,224 103,112 51,556 25,778 12,889 38,668 19,334 9,667 29,002 14,501 43,504 21,752 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072

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