λ
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Atlas › Integer Profiles › Node 8,399,259

8,399,259

32 × 11 × 37 × 2293
Deficient Odd Composite

8,399,259 factors as 3^2 × 11 × 37 × 2293. Its 24 positive divisors give a proper-divisor sum of 5,199,573, so this integer is deficient. The Collatz stopping time is 274 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 37 × 2293
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,598,832
Proper Divisor Sum 5,199,573
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8399257 ← → #8399263

Radix Representation

Decimal 8399259
Binary 100000000010100110011011 (24 bits)
Octal 0o40024633
Hexadecimal 0x80299B

Divisor Catalog (24)

1 3 9 11 33 37 99 111 333 407 1,221 2,293 3,663 6,879 20,637 25,223 75,669 84,841 227,007 254,523 763,569 933,251 2,799,753 8,399,259

Collatz Trajectory (274 steps to reach 1)

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

8,399,259 25,197,778 12,598,889 37,796,668 18,898,334 9,449,167 28,347,502 14,173,751 42,521,254 21,260,627 63,781,882 31,890,941 95,672,824 47,836,412 23,918,206 11,959,103 35,877,310 17,938,655 53,815,966 26,907,983 80,723,950 40,361,975 121,085,926 60,542,963 181,628,890 90,814,445 272,443,336 136,221,668 68,110,834 34,055,417 102,166,252 51,083,126 25,541,563 76,624,690 38,312,345 114,937,036 57,468,518 28,734,259 86,202,778 43,101,389 129,304,168 64,652,084 32,326,042 16,163,021 48,489,064 24,244,532 12,122,266 6,061,133 18,183,400 9,091,700 4,545,850 2,272,925 6,818,776 3,409,388 1,704,694 852,347 2,557,042 1,278,521 3,835,564 1,917,782

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