λ
Ratio Atlas

8,422,313

8422313
Deficient Odd Prime

8,422,313 factors as 8422313. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 8422313
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,422,314
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #8422307 ← → #8422333

Radix Representation

Decimal 8422313
Binary 100000001000001110101001 (24 bits)
Octal 0o40101651
Hexadecimal 0x8083A9

Divisor Catalog (2)

1 8,422,313

Collatz Trajectory (230 steps to reach 1)

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

8,422,313 25,266,940 12,633,470 6,316,735 18,950,206 9,475,103 28,425,310 14,212,655 42,637,966 21,318,983 63,956,950 31,978,475 95,935,426 47,967,713 143,903,140 71,951,570 35,975,785 107,927,356 53,963,678 26,981,839 80,945,518 40,472,759 121,418,278 60,709,139 182,127,418 91,063,709 273,191,128 136,595,564 68,297,782 34,148,891 102,446,674 51,223,337 153,670,012 76,835,006 38,417,503 115,252,510 57,626,255 172,878,766 86,439,383 259,318,150 129,659,075 388,977,226 194,488,613 583,465,840 291,732,920 145,866,460 72,933,230 36,466,615 109,399,846 54,699,923 164,099,770 82,049,885 246,149,656 123,074,828 61,537,414 30,768,707 92,306,122 46,153,061 138,459,184 69,229,592

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