λ
Integer Codex

8,100,371

8100371
Deficient Odd Prime

For 8,100,371, the 2 positive divisors have a total of 8,100,372. Removing 8,100,371 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8100371
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,100,372
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #8100359 ← → #8100377

Radix Representation

Decimal 8100371
Binary 11110111001101000010011 (23 bits)
Octal 0o36715023
Hexadecimal 0x7B9A13

Divisor Catalog (2)

Collatz Trajectory (186 steps to reach 1)

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

8,100,371 24,301,114 12,150,557 36,451,672 18,225,836 9,112,918 4,556,459 13,669,378 6,834,689 20,504,068 10,252,034 5,126,017 15,378,052 7,689,026 3,844,513 11,533,540 5,766,770 2,883,385 8,650,156 4,325,078 2,162,539 6,487,618 3,243,809 9,731,428 4,865,714 2,432,857 7,298,572 3,649,286 1,824,643 5,473,930 2,736,965 8,210,896 4,105,448 2,052,724 1,026,362 513,181 1,539,544 769,772 384,886 192,443 577,330 288,665 865,996 432,998 216,499 649,498 324,749 974,248 487,124 243,562 121,781 365,344 182,672 91,336 45,668 22,834 11,417 34,252 17,126 8,563

More profiles

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