λ
Integer Codex

8,378,231

8378231
Deficient Odd Prime

For 8,378,231, the 2 positive divisors have a total of 8,378,232. Removing 8,378,231 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8378231
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,378,232
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8378219 ← → #8378239

Radix Representation

Decimal 8378231
Binary 11111111101011101110111 (23 bits)
Octal 0o37753567
Hexadecimal 0x7FD777

Divisor Catalog (2)

Collatz Trajectory (181 steps to reach 1)

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

8,378,231 25,134,694 12,567,347 37,702,042 18,851,021 56,553,064 28,276,532 14,138,266 7,069,133 21,207,400 10,603,700 5,301,850 2,650,925 7,952,776 3,976,388 1,988,194 994,097 2,982,292 1,491,146 745,573 2,236,720 1,118,360 559,180 279,590 139,795 419,386 209,693 629,080 314,540 157,270 78,635 235,906 117,953 353,860 176,930 88,465 265,396 132,698 66,349 199,048 99,524 49,762 24,881 74,644 37,322 18,661 55,984 27,992 13,996 6,998 3,499 10,498 5,249 15,748 7,874 3,937 11,812 5,906 2,953 8,860

More profiles

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