λ
Prime Ledger

5,248,566

2 × 32 × 101 × 2887
Abundant Even Composite

5,248,566 has the prime decomposition 2 × 3^2 × 101 × 2887. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 101 × 2887
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,488,464
Proper Divisor Sum 6,239,898
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5248559 ← → #5248567

Radix Representation

Decimal 5248566
Binary 10100000001011000110110 (23 bits)
Octal 0o24013066
Hexadecimal 0x501636

Divisor Catalog (24)

1 2 3 6 9 18 101 202 303 606 909 1,818 2,887 5,774 8,661 17,322 25,983 51,966 291,587 583,174 874,761 1,749,522 2,624,283 5,248,566

Collatz Trajectory (175 steps to reach 1)

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

5,248,566 2,624,283 7,872,850 3,936,425 11,809,276 5,904,638 2,952,319 8,856,958 4,428,479 13,285,438 6,642,719 19,928,158 9,964,079 29,892,238 14,946,119 44,838,358 22,419,179 67,257,538 33,628,769 100,886,308 50,443,154 25,221,577 75,664,732 37,832,366 18,916,183 56,748,550 28,374,275 85,122,826 42,561,413 127,684,240 63,842,120 31,921,060 15,960,530 7,980,265 23,940,796 11,970,398 5,985,199 17,955,598 8,977,799 26,933,398 13,466,699 40,400,098 20,200,049 60,600,148 30,300,074 15,150,037 45,450,112 22,725,056 11,362,528 5,681,264 2,840,632 1,420,316 710,158 355,079 1,065,238 532,619 1,597,858 798,929 2,396,788 1,198,394

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