λ
Sigma Notebook

4,480,696

23 × 11 × 59 × 863
Abundant Even Composite

4,480,696 is even and not a perfect square. Its factorization is 2^3 × 11 × 59 × 863 and its 32 divisors sum to 9,331,200.

Prime Factor Structure

Factorization String 2^3 × 11 × 59 × 863
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,331,200
Proper Divisor Sum 4,850,504
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4480691 ← → #4480757

Radix Representation

Decimal 4480696
Binary 10001000101111010111000 (23 bits)
Octal 0o21057270
Hexadecimal 0x445EB8

Divisor Catalog (32)

1 2 4 8 11 22 44 59 88 118 236 472 649 863 1,298 1,726 2,596 3,452 5,192 6,904 9,493 18,986 37,972 50,917 75,944 101,834 203,668 407,336 560,087 1,120,174 2,240,348 4,480,696

Collatz Trajectory (286 steps to reach 1)

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

4,480,696 2,240,348 1,120,174 560,087 1,680,262 840,131 2,520,394 1,260,197 3,780,592 1,890,296 945,148 472,574 236,287 708,862 354,431 1,063,294 531,647 1,594,942 797,471 2,392,414 1,196,207 3,588,622 1,794,311 5,382,934 2,691,467 8,074,402 4,037,201 12,111,604 6,055,802 3,027,901 9,083,704 4,541,852 2,270,926 1,135,463 3,406,390 1,703,195 5,109,586 2,554,793 7,664,380 3,832,190 1,916,095 5,748,286 2,874,143 8,622,430 4,311,215 12,933,646 6,466,823 19,400,470 9,700,235 29,100,706 14,550,353 43,651,060 21,825,530 10,912,765 32,738,296 16,369,148 8,184,574 4,092,287 12,276,862 6,138,431

More profiles

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