688,235

5 × 59 × 2333

688,235 has digital root 5. The neighboring primes are 688223 and 688249; its proper-divisor sum differs from the starting integer by -536,230.

Prime Factor Structure

Factorization String 5 × 59 × 2333

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 840,240

Proper Divisor Sum 152,005

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #688223 ← → #688249

Radix Representation

Decimal	688235
Binary	10101000000001101011 (20 bits)
Octal	0o2500153
Hexadecimal	0xA806B

Divisor Catalog (8)

1 5 59 295 2,333 11,665 137,647 688,235

Collatz Trajectory (136 steps to reach 1)

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

688,235 2,064,706 1,032,353 3,097,060 1,548,530 774,265 2,322,796 1,161,398 580,699 1,742,098 871,049 2,613,148 1,306,574 653,287 1,959,862 979,931 2,939,794 1,469,897 4,409,692 2,204,846 1,102,423 3,307,270 1,653,635 4,960,906 2,480,453 7,441,360 3,720,680 1,860,340 930,170 465,085 1,395,256 697,628 348,814 174,407 523,222 261,611 784,834 392,417 1,177,252 588,626 294,313 882,940 441,470 220,735 662,206 331,103 993,310 496,655 1,489,966 744,983 2,234,950 1,117,475 3,352,426 1,676,213 5,028,640 2,514,320 1,257,160 628,580 314,290 157,145

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