λ
Integer Codex

8,282,627

8282627
Deficient Odd Prime

For 8,282,627, the 2 positive divisors have a total of 8,282,628. Removing 8,282,627 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8282627
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,282,628
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8282623 ← → #8282629

Radix Representation

Decimal 8282627
Binary 11111100110001000000011 (23 bits)
Octal 0o37461003
Hexadecimal 0x7E6203

Divisor Catalog (2)

Collatz Trajectory (155 steps to reach 1)

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

8,282,627 24,847,882 12,423,941 37,271,824 18,635,912 9,317,956 4,658,978 2,329,489 6,988,468 3,494,234 1,747,117 5,241,352 2,620,676 1,310,338 655,169 1,965,508 982,754 491,377 1,474,132 737,066 368,533 1,105,600 552,800 276,400 138,200 69,100 34,550 17,275 51,826 25,913 77,740 38,870 19,435 58,306 29,153 87,460 43,730 21,865 65,596 32,798 16,399 49,198 24,599 73,798 36,899 110,698 55,349 166,048 83,024 41,512 20,756 10,378 5,189 15,568 7,784 3,892 1,946 973 2,920 1,460

More profiles

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