7,380,331

7³ × 21517

7,380,331 factors as 7^3 × 21517. Its 8 positive divisors give a proper-divisor sum of 1,226,869, so this integer is deficient. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 7^3 × 21517

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,607,200

Proper Divisor Sum 1,226,869

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7380319 ← → #7380361

Radix Representation

Decimal	7380331
Binary	11100001001110101101011 (23 bits)
Octal	0o34116553
Hexadecimal	0x709D6B

Divisor Catalog (8)

1 7 49 343 21,517 150,619 1,054,333 7,380,331

Collatz Trajectory (235 steps to reach 1)

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

7,380,331 22,140,994 11,070,497 33,211,492 16,605,746 8,302,873 24,908,620 12,454,310 6,227,155 18,681,466 9,340,733 28,022,200 14,011,100 7,005,550 3,502,775 10,508,326 5,254,163 15,762,490 7,881,245 23,643,736 11,821,868 5,910,934 2,955,467 8,866,402 4,433,201 13,299,604 6,649,802 3,324,901 9,974,704 4,987,352 2,493,676 1,246,838 623,419 1,870,258 935,129 2,805,388 1,402,694 701,347 2,104,042 1,052,021 3,156,064 1,578,032 789,016 394,508 197,254 98,627 295,882 147,941 443,824 221,912 110,956 55,478 27,739 83,218 41,609 124,828 62,414 31,207 93,622 46,811

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