4,546,480

2⁴ × 5 × 17 × 3343

4,546,480 has the prime decomposition 2^4 × 5 × 17 × 3343. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 17 × 3343

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 11,195,712

Proper Divisor Sum 6,649,232

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4546471 ← → #4546489

Radix Representation

Decimal	4546480
Binary	10001010101111110110000 (23 bits)
Octal	0o21257660
Hexadecimal	0x455FB0

Divisor Catalog (40)

1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1,360 3,343 6,686 13,372 16,715 26,744 33,430 53,488 56,831 66,860 113,662 133,720 227,324 267,440 284,155 454,648 568,310 909,296 1,136,620 2,273,240 4,546,480

Collatz Trajectory (211 steps to reach 1)

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

4,546,480 2,273,240 1,136,620 568,310 284,155 852,466 426,233 1,278,700 639,350 319,675 959,026 479,513 1,438,540 719,270 359,635 1,078,906 539,453 1,618,360 809,180 404,590 202,295 606,886 303,443 910,330 455,165 1,365,496 682,748 341,374 170,687 512,062 256,031 768,094 384,047 1,152,142 576,071 1,728,214 864,107 2,592,322 1,296,161 3,888,484 1,944,242 972,121 2,916,364 1,458,182 729,091 2,187,274 1,093,637 3,280,912 1,640,456 820,228 410,114 205,057 615,172 307,586 153,793 461,380 230,690 115,345 346,036 173,018

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