34,271

43 × 797

Starting at 34,271, the Collatz iteration reaches 1 after 54 steps. The first transition is 102814; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 43 × 797

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 35,112

Proper Divisor Sum 841

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #34267 ← → #34273

Radix Representation

Decimal	34271
Binary	1000010111011111 (16 bits)
Octal	0o102737
Hexadecimal	0x85DF

Divisor Catalog (4)

1 43 797 34,271

Collatz Trajectory (54 steps to reach 1)

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

34,271 102,814 51,407 154,222 77,111 231,334 115,667 347,002 173,501 520,504 260,252 130,126 65,063 195,190 97,595 292,786 146,393 439,180 219,590 109,795 329,386 164,693 494,080 247,040 123,520 61,760 30,880 15,440 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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