λ
Prime Ledger

5,580,584

23 × 311 × 2243
Deficient Even Composite

5,580,584 has the prime decomposition 2^3 × 311 × 2243. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 311 × 2243
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,501,920
Proper Divisor Sum 4,921,336
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5580581 ← → #5580587

Radix Representation

Decimal 5580584
Binary 10101010010011100101000 (23 bits)
Octal 0o25223450
Hexadecimal 0x552728

Divisor Catalog (16)

1 2 4 8 311 622 1,244 2,243 2,488 4,486 8,972 17,944 697,573 1,395,146 2,790,292 5,580,584

Collatz Trajectory (144 steps to reach 1)

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

5,580,584 2,790,292 1,395,146 697,573 2,092,720 1,046,360 523,180 261,590 130,795 392,386 196,193 588,580 294,290 147,145 441,436 220,718 110,359 331,078 165,539 496,618 248,309 744,928 372,464 186,232 93,116 46,558 23,279 69,838 34,919 104,758 52,379 157,138 78,569 235,708 117,854 58,927 176,782 88,391 265,174 132,587 397,762 198,881 596,644 298,322 149,161 447,484 223,742 111,871 335,614 167,807 503,422 251,711 755,134 377,567 1,132,702 566,351 1,699,054 849,527 2,548,582 1,274,291

More profiles

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