λ
Sigma Notebook

8,732,032

27 × 68219
Deficient Even Composite

8,732,032 is even and not a perfect square. Its factorization is 2^7 × 68219 and its 16 divisors sum to 17,396,100.

Prime Factor Structure

Factorization String 2^7 × 68219
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,396,100
Proper Divisor Sum 8,664,068
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8732029 ← → #8732047

Radix Representation

Decimal 8732032
Binary 100001010011110110000000 (24 bits)
Octal 0o41236600
Hexadecimal 0x853D80

Divisor Catalog (16)

1 2 4 8 16 32 64 128 68,219 136,438 272,876 545,752 1,091,504 2,183,008 4,366,016 8,732,032

Collatz Trajectory (181 steps to reach 1)

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

8,732,032 4,366,016 2,183,008 1,091,504 545,752 272,876 136,438 68,219 204,658 102,329 306,988 153,494 76,747 230,242 115,121 345,364 172,682 86,341 259,024 129,512 64,756 32,378 16,189 48,568 24,284 12,142 6,071 18,214 9,107 27,322 13,661 40,984 20,492 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257

More profiles

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