λ
Integer Codex

8,127,313

8127313
Deficient Odd Prime

For 8,127,313, the 2 positive divisors have a total of 8,127,314. Removing 8,127,313 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8127313
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,127,314
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8127311 ← → #8127319

Radix Representation

Decimal 8127313
Binary 11111000000001101010001 (23 bits)
Octal 0o37001521
Hexadecimal 0x7C0351

Divisor Catalog (2)

1 8,127,313

Collatz Trajectory (199 steps to reach 1)

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

8,127,313 24,381,940 12,190,970 6,095,485 18,286,456 9,143,228 4,571,614 2,285,807 6,857,422 3,428,711 10,286,134 5,143,067 15,429,202 7,714,601 23,143,804 11,571,902 5,785,951 17,357,854 8,678,927 26,036,782 13,018,391 39,055,174 19,527,587 58,582,762 29,291,381 87,874,144 43,937,072 21,968,536 10,984,268 5,492,134 2,746,067 8,238,202 4,119,101 12,357,304 6,178,652 3,089,326 1,544,663 4,633,990 2,316,995 6,950,986 3,475,493 10,426,480 5,213,240 2,606,620 1,303,310 651,655 1,954,966 977,483 2,932,450 1,466,225 4,398,676 2,199,338 1,099,669 3,299,008 1,649,504 824,752 412,376 206,188 103,094 51,547

More profiles

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