λ
Sigma Notebook

8,407,236

22 × 3 × 23 × 83 × 367
Abundant Even Composite

8,407,236 is even and not a perfect square. Its factorization is 2^2 × 3 × 23 × 83 × 367 and its 48 divisors sum to 20,772,864.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 83 × 367
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,772,864
Proper Divisor Sum 12,365,628
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8407229 ← → #8407237

Radix Representation

Decimal 8407236
Binary 100000000100100011000100 (24 bits)
Octal 0o40044304
Hexadecimal 0x8048C4

Divisor Catalog (48)

1 2 3 4 6 12 23 46 69 83 92 138 166 249 276 332 367 498 734 996 1,101 1,468 1,909 2,202 3,818 4,404 5,727 7,636 8,441 11,454 16,882 22,908 25,323 30,461 33,764 50,646 60,922 91,383 101,292 121,844 182,766 365,532 700,603 1,401,206 2,101,809 2,802,412 4,203,618 8,407,236

Collatz Trajectory (243 steps to reach 1)

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

8,407,236 4,203,618 2,101,809 6,305,428 3,152,714 1,576,357 4,729,072 2,364,536 1,182,268 591,134 295,567 886,702 443,351 1,330,054 665,027 1,995,082 997,541 2,992,624 1,496,312 748,156 374,078 187,039 561,118 280,559 841,678 420,839 1,262,518 631,259 1,893,778 946,889 2,840,668 1,420,334 710,167 2,130,502 1,065,251 3,195,754 1,597,877 4,793,632 2,396,816 1,198,408 599,204 299,602 149,801 449,404 224,702 112,351 337,054 168,527 505,582 252,791 758,374 379,187 1,137,562 568,781 1,706,344 853,172 426,586 213,293 639,880 319,940

More profiles

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