8,442,748

2² × 23 × 163 × 563

8,442,748 has the prime decomposition 2^2 × 23 × 163 × 563. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 23 × 163 × 563

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,539,328

Proper Divisor Sum 7,096,580

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8442713 ← → #8442767

Radix Representation

Decimal	8442748
Binary	100000001101001101111100 (24 bits)
Octal	0o40151574
Hexadecimal	0x80D37C

Divisor Catalog (24)

1 2 4 23 46 92 163 326 563 652 1,126 2,252 3,749 7,498 12,949 14,996 25,898 51,796 91,769 183,538 367,076 2,110,687 4,221,374 8,442,748

Collatz Trajectory (106 steps to reach 1)

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

8,442,748 4,221,374 2,110,687 6,332,062 3,166,031 9,498,094 4,749,047 14,247,142 7,123,571 21,370,714 10,685,357 32,056,072 16,028,036 8,014,018 4,007,009 12,021,028 6,010,514 3,005,257 9,015,772 4,507,886 2,253,943 6,761,830 3,380,915 10,142,746 5,071,373 15,214,120 7,607,060 3,803,530 1,901,765 5,705,296 2,852,648 1,426,324 713,162 356,581 1,069,744 534,872 267,436 133,718 66,859 200,578 100,289 300,868 150,434 75,217 225,652 112,826 56,413 169,240 84,620 42,310 21,155 63,466 31,733 95,200 47,600 23,800 11,900 5,950 2,975 8,926

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