5,428,584

2³ × 3² × 7 × 10771

5,428,584 has the prime decomposition 2^3 × 3^2 × 7 × 10771. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 10771

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 16,804,320

Proper Divisor Sum 11,375,736

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5428571 ← → #5428607

Radix Representation

Decimal	5428584
Binary	10100101101010101101000 (23 bits)
Octal	0o24552550
Hexadecimal	0x52D568

Divisor Catalog (48)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 10,771 21,542 32,313 43,084 64,626 75,397 86,168 96,939 129,252 150,794 193,878 226,191 258,504 301,588 387,756 452,382 603,176 678,573 775,512 904,764 1,357,146 1,809,528 2,714,292 5,428,584

Collatz Trajectory (64 steps to reach 1)

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

5,428,584 2,714,292 1,357,146 678,573 2,035,720 1,017,860 508,930 254,465 763,396 381,698 190,849 572,548 286,274 143,137 429,412 214,706 107,353 322,060 161,030 80,515 241,546 120,773 362,320 181,160 90,580 45,290 22,645 67,936 33,968 16,984 8,492 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5

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