λ
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4,565,142

2 × 32 × 127 × 1997
Abundant Even Composite

4,565,142 factors as 2 × 3^2 × 127 × 1997. Its 24 positive divisors give a proper-divisor sum of 5,408,874, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 127 × 1997
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,974,016
Proper Divisor Sum 5,408,874
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4565137 ← → #4565159

Radix Representation

Decimal 4565142
Binary 10001011010100010010110 (23 bits)
Octal 0o21324226
Hexadecimal 0x45A896

Divisor Catalog (24)

1 2 3 6 9 18 127 254 381 762 1,143 1,997 2,286 3,994 5,991 11,982 17,973 35,946 253,619 507,238 760,857 1,521,714 2,282,571 4,565,142

Collatz Trajectory (131 steps to reach 1)

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

4,565,142 2,282,571 6,847,714 3,423,857 10,271,572 5,135,786 2,567,893 7,703,680 3,851,840 1,925,920 962,960 481,480 240,740 120,370 60,185 180,556 90,278 45,139 135,418 67,709 203,128 101,564 50,782 25,391 76,174 38,087 114,262 57,131 171,394 85,697 257,092 128,546 64,273 192,820 96,410 48,205 144,616 72,308 36,154 18,077 54,232 27,116 13,558 6,779 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828

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