λ
Prime Ledger

5,582,250

2 × 33 × 53 × 827
Abundant Even Composite

5,582,250 has the prime decomposition 2 × 3^3 × 5^3 × 827. Its 4 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 5^3 × 827
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 15,500,160
Proper Divisor Sum 9,917,910
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5582231 ← → #5582251

Radix Representation

Decimal 5582250
Binary 10101010010110110101010 (23 bits)
Octal 0o25226652
Hexadecimal 0x552DAA

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 125 135 150 225 250 270 375 450 675 750 827 1,125 1,350 1,654 2,250 2,481 3,375 4,135 4,962 6,750 7,443 8,270 12,405 14,886 20,675 22,329 24,810 37,215 41,350 44,658 62,025 74,430 103,375 111,645 124,050 186,075 206,750 223,290 310,125 372,150 558,225 620,250 930,375

Collatz Trajectory (77 steps to reach 1)

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

5,582,250 2,791,125 8,373,376 4,186,688 2,093,344 1,046,672 523,336 261,668 130,834 65,417 196,252 98,126 49,063 147,190 73,595 220,786 110,393 331,180 165,590 82,795 248,386 124,193 372,580 186,290 93,145 279,436 139,718 69,859 209,578 104,789 314,368 157,184 78,592 39,296 19,648 9,824 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28

More profiles

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