345,712

2⁴ × 17 × 31 × 41

345,712 has digital root 4. The neighboring primes are 345707 and 345727; its proper-divisor sum differs from the starting integer by 58,528.

Prime Factor Structure

Factorization String 2^4 × 17 × 31 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Total Divisors 40

Divisor Sum (σ) 749,952

Proper Divisor Sum 404,240

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #345707 ← → #345727

1 2 4 8 16 17 31 34 41 62 68 82 124 136 164 248 272 328 496 527 656 697 1,054 1,271 1,394 2,108 2,542 2,788 4,216 5,084 5,576 8,432 10,168 11,152 20,336 21,607 43,214 86,428 172,856 345,712

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

345,712 172,856 86,428 43,214 21,607 64,822 32,411 97,234 48,617 145,852 72,926 36,463 109,390 54,695 164,086 82,043 246,130 123,065 369,196 184,598 92,299 276,898 138,449 415,348 207,674 103,837 311,512 155,756 77,878 38,939 116,818 58,409 175,228 87,614 43,807 131,422 65,711 197,134 98,567 295,702 147,851 443,554 221,777 665,332 332,666 166,333 499,000 249,500 124,750 62,375 187,126 93,563 280,690 140,345 421,036 210,518 105,259 315,778 157,889 473,668

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