λ
Sigma Notebook

8,012,514

2 × 3 × 211 × 6329
Abundant Even Composite

8,012,514 is even and not a perfect square. Its factorization is 2 × 3 × 211 × 6329 and its 16 divisors sum to 16,103,520.

Prime Factor Structure

Factorization String 2 × 3 × 211 × 6329
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,103,520
Proper Divisor Sum 8,091,006
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #8012483 ← → #8012519

Radix Representation

Decimal 8012514
Binary 11110100100001011100010 (23 bits)
Octal 0o36441342
Hexadecimal 0x7A42E2

Divisor Catalog (16)

1 2 3 6 211 422 633 1,266 6,329 12,658 18,987 37,974 1,335,419 2,670,838 4,006,257 8,012,514

Collatz Trajectory (93 steps to reach 1)

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

8,012,514 4,006,257 12,018,772 6,009,386 3,004,693 9,014,080 4,507,040 2,253,520 1,126,760 563,380 281,690 140,845 422,536 211,268 105,634 52,817 158,452 79,226 39,613 118,840 59,420 29,710 14,855 44,566 22,283 66,850 33,425 100,276 50,138 25,069 75,208 37,604 18,802 9,401 28,204 14,102 7,051 21,154 10,577 31,732 15,866 7,933 23,800 11,900 5,950 2,975 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848

More profiles

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