82,240

2⁶ × 5 × 257

82,240 has digital root 7. The neighboring primes are 82237 and 82241; its proper-divisor sum differs from the starting integer by 32,116.

Prime Factor Structure

Factorization String 2^6 × 5 × 257

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Total Divisors 28

Divisor Sum (σ) 196,596

Proper Divisor Sum 114,356

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #82237 ← → #82241

1 2 4 5 8 10 16 20 32 40 64 80 160 257 320 514 1,028 1,285 2,056 2,570 4,112 5,140 8,224 10,280 16,448 20,560 41,120 82,240

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

82,240 41,120 20,560 10,280 5,140 2,570 1,285 3,856 1,928 964 482 241 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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