λ
Ratio Atlas

8,245,487

19 × 372 × 317
Deficient Odd Composite

8,245,487 factors as 19 × 37^2 × 317. Its 12 positive divisors give a proper-divisor sum of 703,033, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 19 × 37^2 × 317
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,948,520
Proper Divisor Sum 703,033
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8245481 ← → #8245499

Radix Representation

Decimal 8245487
Binary 11111011101000011101111 (23 bits)
Octal 0o37350357
Hexadecimal 0x7DD0EF

Divisor Catalog (12)

Collatz Trajectory (168 steps to reach 1)

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

8,245,487 24,736,462 12,368,231 37,104,694 18,552,347 55,657,042 27,828,521 83,485,564 41,742,782 20,871,391 62,614,174 31,307,087 93,921,262 46,960,631 140,881,894 70,440,947 211,322,842 105,661,421 316,984,264 158,492,132 79,246,066 39,623,033 118,869,100 59,434,550 29,717,275 89,151,826 44,575,913 133,727,740 66,863,870 33,431,935 100,295,806 50,147,903 150,443,710 75,221,855 225,665,566 112,832,783 338,498,350 169,249,175 507,747,526 253,873,763 761,621,290 380,810,645 1,142,431,936 571,215,968 285,607,984 142,803,992 71,401,996 35,700,998 17,850,499 53,551,498 26,775,749 80,327,248 40,163,624 20,081,812 10,040,906 5,020,453 15,061,360 7,530,680 3,765,340 1,882,670

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