34,112

2⁶ × 13 × 41

34,112 has digital root 2. The neighboring primes are 34061 and 34123; its proper-divisor sum differs from the starting integer by 6,452.

Prime Factor Structure

Factorization String 2^6 × 13 × 41

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Total Divisors 28

Divisor Sum (σ) 74,676

Proper Divisor Sum 40,564

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #34061 ← → #34123

1 2 4 8 13 16 26 32 41 52 64 82 104 164 208 328 416 533 656 832 1,066 1,312 2,132 2,624 4,264 8,528 17,056 34,112

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

34,112 17,056 8,528 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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