λ
Integer Codex

8,182,531

7 × 1168933
Deficient Odd Composite

For 8,182,531, the 4 positive divisors have a total of 9,351,472. Removing 8,182,531 leaves 1,168,941, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 1168933
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,351,472
Proper Divisor Sum 1,168,941
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8182487 ← → #8182541

Radix Representation

Decimal 8182531
Binary 11111001101101100000011 (23 bits)
Octal 0o37155403
Hexadecimal 0x7CDB03

Divisor Catalog (4)

1 7 1,168,933 8,182,531

Collatz Trajectory (168 steps to reach 1)

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

8,182,531 24,547,594 12,273,797 36,821,392 18,410,696 9,205,348 4,602,674 2,301,337 6,904,012 3,452,006 1,726,003 5,178,010 2,589,005 7,767,016 3,883,508 1,941,754 970,877 2,912,632 1,456,316 728,158 364,079 1,092,238 546,119 1,638,358 819,179 2,457,538 1,228,769 3,686,308 1,843,154 921,577 2,764,732 1,382,366 691,183 2,073,550 1,036,775 3,110,326 1,555,163 4,665,490 2,332,745 6,998,236 3,499,118 1,749,559 5,248,678 2,624,339 7,873,018 3,936,509 11,809,528 5,904,764 2,952,382 1,476,191 4,428,574 2,214,287 6,642,862 3,321,431 9,964,294 4,982,147 14,946,442 7,473,221 22,419,664 11,209,832

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