λ
Integer Codex

8,423,546

2 × 1032 × 397
Deficient Even Composite

For 8,423,546, the 12 positive divisors have a total of 12,791,322. Removing 8,423,546 leaves 4,367,776, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 103^2 × 397
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,791,322
Proper Divisor Sum 4,367,776
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8423507 ← → #8423549

Radix Representation

Decimal 8423546
Binary 100000001000100001111010 (24 bits)
Octal 0o40104172
Hexadecimal 0x80887A

Divisor Catalog (12)

1 2 103 206 397 794 10,609 21,218 40,891 81,782 4,211,773 8,423,546

Collatz Trajectory (199 steps to reach 1)

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

8,423,546 4,211,773 12,635,320 6,317,660 3,158,830 1,579,415 4,738,246 2,369,123 7,107,370 3,553,685 10,661,056 5,330,528 2,665,264 1,332,632 666,316 333,158 166,579 499,738 249,869 749,608 374,804 187,402 93,701 281,104 140,552 70,276 35,138 17,569 52,708 26,354 13,177 39,532 19,766 9,883 29,650 14,825 44,476 22,238 11,119 33,358 16,679 50,038 25,019 75,058 37,529 112,588 56,294 28,147 84,442 42,221 126,664 63,332 31,666 15,833 47,500 23,750 11,875 35,626 17,813 53,440

More profiles

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