λ
Harmonic Matrix

34,673

34673
Deficient Odd Prime

34,673 has digital root 5. The neighboring primes are 34667 and 34679; its proper-divisor sum differs from the starting integer by -34,672.

Prime Factor Structure

Factorization String 34673
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 34,674
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #34667 ← → #34679

Radix Representation

Decimal 34673
Binary 1000011101110001 (16 bits)
Octal 0o103561
Hexadecimal 0x8771

Divisor Catalog (2)

1 34,673

Collatz Trajectory (142 steps to reach 1)

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

34,673 104,020 52,010 26,005 78,016 39,008 19,504 9,752 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233

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