7,380,909

3³ × 273367

7,380,909 factors as 3^3 × 273367. Its 8 positive divisors give a proper-divisor sum of 3,553,811, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 3^3 × 273367

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,934,720

Proper Divisor Sum 3,553,811

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7380889 ← → #7380913

Radix Representation

Decimal	7380909
Binary	11100001001111110101101 (23 bits)
Octal	0o34117655
Hexadecimal	0x709FAD

Divisor Catalog (8)

1 3 9 27 273,367 820,101 2,460,303 7,380,909

Collatz Trajectory (204 steps to reach 1)

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

7,380,909 22,142,728 11,071,364 5,535,682 2,767,841 8,303,524 4,151,762 2,075,881 6,227,644 3,113,822 1,556,911 4,670,734 2,335,367 7,006,102 3,503,051 10,509,154 5,254,577 15,763,732 7,881,866 3,940,933 11,822,800 5,911,400 2,955,700 1,477,850 738,925 2,216,776 1,108,388 554,194 277,097 831,292 415,646 207,823 623,470 311,735 935,206 467,603 1,402,810 701,405 2,104,216 1,052,108 526,054 263,027 789,082 394,541 1,183,624 591,812 295,906 147,953 443,860 221,930 110,965 332,896 166,448 83,224 41,612 20,806 10,403 31,210 15,605 46,816

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