4,728,080

2⁴ × 5 × 7 × 8443

4,728,080 is even and not a perfect square. Its factorization is 2^4 × 5 × 7 × 8443 and its 40 divisors sum to 12,564,672.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 8443

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 12,564,672

Proper Divisor Sum 7,836,592

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4728047 ← → #4728109

Radix Representation

Decimal	4728080
Binary	10010000010010100010000 (23 bits)
Octal	0o22022420
Hexadecimal	0x482510

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 8,443 16,886 33,772 42,215 59,101 67,544 84,430 118,202 135,088 168,860 236,404 295,505 337,720 472,808 591,010 675,440 945,616 1,182,020 2,364,040 4,728,080

Collatz Trajectory (87 steps to reach 1)

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

4,728,080 2,364,040 1,182,020 591,010 295,505 886,516 443,258 221,629 664,888 332,444 166,222 83,111 249,334 124,667 374,002 187,001 561,004 280,502 140,251 420,754 210,377 631,132 315,566 157,783 473,350 236,675 710,026 355,013 1,065,040 532,520 266,260 133,130 66,565 199,696 99,848 49,924 24,962 12,481 37,444 18,722 9,361 28,084 14,042 7,021 21,064 10,532 5,266 2,633 7,900 3,950 1,975 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002

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