λ
Sigma Notebook

8,732,532

22 × 3 × 727711
Abundant Even Composite

8,732,532 is even and not a perfect square. Its factorization is 2^2 × 3 × 727711 and its 12 divisors sum to 20,375,936.

Prime Factor Structure

Factorization String 2^2 × 3 × 727711
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 20,375,936
Proper Divisor Sum 11,643,404
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8732501 ← → #8732551

Radix Representation

Decimal 8732532
Binary 100001010011111101110100 (24 bits)
Octal 0o41237564
Hexadecimal 0x853F74

Divisor Catalog (12)

1 2 3 4 6 12 727,711 1,455,422 2,183,133 2,910,844 4,366,266 8,732,532

Collatz Trajectory (181 steps to reach 1)

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

8,732,532 4,366,266 2,183,133 6,549,400 3,274,700 1,637,350 818,675 2,456,026 1,228,013 3,684,040 1,842,020 921,010 460,505 1,381,516 690,758 345,379 1,036,138 518,069 1,554,208 777,104 388,552 194,276 97,138 48,569 145,708 72,854 36,427 109,282 54,641 163,924 81,962 40,981 122,944 61,472 30,736 15,368 7,684 3,842 1,921 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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