753,768

2³ × 3² × 19² × 29

753,768 has digital root 9. The neighboring primes are 753751 and 753773; its proper-divisor sum differs from the starting integer by 721,314.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 19^2 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Total Divisors 72

Divisor Sum (σ) 2,228,850

Proper Divisor Sum 1,475,082

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #753751 ← → #753773

1 2 3 4 6 8 9 12 18 19 24 29 36 38 57 58 72 76 87 114 116 152 171 174 228 232 261 342 348 361 456 522 551 684 696 722 1,044 1,083 1,102 1,368 1,444 1,653 2,088 2,166 2,204 2,888 3,249 3,306 4,332 4,408 4,959 6,498 6,612 8,664 9,918 10,469 12,996 13,224 19,836 20,938

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

753,768 376,884 188,442 94,221 282,664 141,332 70,666 35,333 106,000 53,000 26,500 13,250 6,625 19,876 9,938 4,969 14,908 7,454 3,727 11,182 5,591 16,774 8,387 25,162 12,581 37,744 18,872 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133

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