λ
Integer Codex

8,443,323

32 × 7 × 23 × 5827
Deficient Odd Composite

For 8,443,323, the 24 positive divisors have a total of 14,546,688. Removing 8,443,323 leaves 6,103,365, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 7 × 23 × 5827
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,546,688
Proper Divisor Sum 6,103,365
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8443319 ← → #8443327

Radix Representation

Decimal 8443323
Binary 100000001101010110111011 (24 bits)
Octal 0o40152673
Hexadecimal 0x80D5BB

Divisor Catalog (24)

1 3 7 9 21 23 63 69 161 207 483 1,449 5,827 17,481 40,789 52,443 122,367 134,021 367,101 402,063 938,147 1,206,189 2,814,441 8,443,323

Collatz Trajectory (106 steps to reach 1)

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

8,443,323 25,329,970 12,664,985 37,994,956 18,997,478 9,498,739 28,496,218 14,248,109 42,744,328 21,372,164 10,686,082 5,343,041 16,029,124 8,014,562 4,007,281 12,021,844 6,010,922 3,005,461 9,016,384 4,508,192 2,254,096 1,127,048 563,524 281,762 140,881 422,644 211,322 105,661 316,984 158,492 79,246 39,623 118,870 59,435 178,306 89,153 267,460 133,730 66,865 200,596 100,298 50,149 150,448 75,224 37,612 18,806 9,403 28,210 14,105 42,316 21,158 10,579 31,738 15,869 47,608 23,804 11,902 5,951 17,854 8,927

More profiles

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