8,005,401

3² × 889489

8,005,401 factors as 3^2 × 889489. Its 6 positive divisors give a proper-divisor sum of 3,557,969, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 3^2 × 889489

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 11,563,370

Proper Divisor Sum 3,557,969

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #8005397 ← → #8005411

Radix Representation

Decimal	8005401
Binary	11110100010011100011001 (23 bits)
Octal	0o36423431
Hexadecimal	0x7A2719

Divisor Catalog (6)

1 3 9 889,489 2,668,467 8,005,401

Collatz Trajectory (204 steps to reach 1)

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

8,005,401 24,016,204 12,008,102 6,004,051 18,012,154 9,006,077 27,018,232 13,509,116 6,754,558 3,377,279 10,131,838 5,065,919 15,197,758 7,598,879 22,796,638 11,398,319 34,194,958 17,097,479 51,292,438 25,646,219 76,938,658 38,469,329 115,407,988 57,703,994 28,851,997 86,555,992 43,277,996 21,638,998 10,819,499 32,458,498 16,229,249 48,687,748 24,343,874 12,171,937 36,515,812 18,257,906 9,128,953 27,386,860 13,693,430 6,846,715 20,540,146 10,270,073 30,810,220 15,405,110 7,702,555 23,107,666 11,553,833 34,661,500 17,330,750 8,665,375 25,996,126 12,998,063 38,994,190 19,497,095 58,491,286 29,245,643 87,736,930 43,868,465 131,605,396 65,802,698

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