λ
Ratio Atlas

8,213,267

8213267
Deficient Odd Prime

8,213,267 factors as 8213267. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 8213267
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,213,268
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8213221 ← → #8213273

Radix Representation

Decimal 8213267
Binary 11111010101001100010011 (23 bits)
Octal 0o37251423
Hexadecimal 0x7D5313

Divisor Catalog (2)

Collatz Trajectory (137 steps to reach 1)

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

8,213,267 24,639,802 12,319,901 36,959,704 18,479,852 9,239,926 4,619,963 13,859,890 6,929,945 20,789,836 10,394,918 5,197,459 15,592,378 7,796,189 23,388,568 11,694,284 5,847,142 2,923,571 8,770,714 4,385,357 13,156,072 6,578,036 3,289,018 1,644,509 4,933,528 2,466,764 1,233,382 616,691 1,850,074 925,037 2,775,112 1,387,556 693,778 346,889 1,040,668 520,334 260,167 780,502 390,251 1,170,754 585,377 1,756,132 878,066 439,033 1,317,100 658,550 329,275 987,826 493,913 1,481,740 740,870 370,435 1,111,306 555,653 1,666,960 833,480 416,740 208,370 104,185 312,556

More profiles

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