8,384,949

3² × 23 × 40507

8,384,949 has digital root 9. The neighboring primes are 8384933 and 8384969; its proper-divisor sum differs from the starting integer by -4,131,402.

Prime Factor Structure

Factorization String 3^2 × 23 × 40507

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,638,496

Proper Divisor Sum 4,253,547

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8384933 ← → #8384969

Radix Representation

Decimal	8384949
Binary	11111111111000110110101 (23 bits)
Octal	0o37770665
Hexadecimal	0x7FF1B5

Divisor Catalog (12)

1 3 9 23 69 207 40,507 121,521 364,563 931,661 2,794,983 8,384,949

Collatz Trajectory (181 steps to reach 1)

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

8,384,949 25,154,848 12,577,424 6,288,712 3,144,356 1,572,178 786,089 2,358,268 1,179,134 589,567 1,768,702 884,351 2,653,054 1,326,527 3,979,582 1,989,791 5,969,374 2,984,687 8,954,062 4,477,031 13,431,094 6,715,547 20,146,642 10,073,321 30,219,964 15,109,982 7,554,991 22,664,974 11,332,487 33,997,462 16,998,731 50,996,194 25,498,097 76,494,292 38,247,146 19,123,573 57,370,720 28,685,360 14,342,680 7,171,340 3,585,670 1,792,835 5,378,506 2,689,253 8,067,760 4,033,880 2,016,940 1,008,470 504,235 1,512,706 756,353 2,269,060 1,134,530 567,265 1,701,796 850,898 425,449 1,276,348 638,174 319,087

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