λ
Sigma Notebook

4,502,106

2 × 32 × 7 × 35731
Abundant Even Composite

4,502,106 is even and not a perfect square. Its factorization is 2 × 3^2 × 7 × 35731 and its 24 divisors sum to 11,148,384.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 35731
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,148,384
Proper Divisor Sum 6,646,278
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4502101 ← → #4502117

Radix Representation

Decimal 4502106
Binary 10001001011001001011010 (23 bits)
Octal 0o21131132
Hexadecimal 0x44B25A

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 35,731 71,462 107,193 214,386 250,117 321,579 500,234 643,158 750,351 1,500,702 2,251,053 4,502,106

Collatz Trajectory (87 steps to reach 1)

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

4,502,106 2,251,053 6,753,160 3,376,580 1,688,290 844,145 2,532,436 1,266,218 633,109 1,899,328 949,664 474,832 237,416 118,708 59,354 29,677 89,032 44,516 22,258 11,129 33,388 16,694 8,347 25,042 12,521 37,564 18,782 9,391 28,174 14,087 42,262 21,131 63,394 31,697 95,092 47,546 23,773 71,320 35,660 17,830 8,915 26,746 13,373 40,120 20,060 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794

More profiles

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