3,727,795

5 × 193 × 3863

3,727,795 has digital root 4. The neighboring primes are 3727793 and 3727837; its proper-divisor sum differs from the starting integer by -2,957,894.

Prime Factor Structure

Factorization String 5 × 193 × 3863

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,497,696

Proper Divisor Sum 769,901

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3727793 ← → #3727837

Radix Representation

Decimal	3727795
Binary	1110001110000110110011 (22 bits)
Octal	0o16160663
Hexadecimal	0x38E1B3

Divisor Catalog (8)

1 5 193 965 3,863 19,315 745,559 3,727,795

Collatz Trajectory (203 steps to reach 1)

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

3,727,795 11,183,386 5,591,693 16,775,080 8,387,540 4,193,770 2,096,885 6,290,656 3,145,328 1,572,664 786,332 393,166 196,583 589,750 294,875 884,626 442,313 1,326,940 663,470 331,735 995,206 497,603 1,492,810 746,405 2,239,216 1,119,608 559,804 279,902 139,951 419,854 209,927 629,782 314,891 944,674 472,337 1,417,012 708,506 354,253 1,062,760 531,380 265,690 132,845 398,536 199,268 99,634 49,817 149,452 74,726 37,363 112,090 56,045 168,136 84,068 42,034 21,017 63,052 31,526 15,763 47,290 23,645

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