λ
Prime Ledger

5,532,642

2 × 32 × 379 × 811
Abundant Even Composite

5,532,642 has the prime decomposition 2 × 3^2 × 379 × 811. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 379 × 811
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,033,840
Proper Divisor Sum 6,501,198
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5532641 ← → #5532643

Radix Representation

Decimal 5532642
Binary 10101000110101111100010 (23 bits)
Octal 0o25065742
Hexadecimal 0x546BE2

Divisor Catalog (24)

1 2 3 6 9 18 379 758 811 1,137 1,622 2,274 2,433 3,411 4,866 6,822 7,299 14,598 307,369 614,738 922,107 1,844,214 2,766,321 5,532,642

Collatz Trajectory (77 steps to reach 1)

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

5,532,642 2,766,321 8,298,964 4,149,482 2,074,741 6,224,224 3,112,112 1,556,056 778,028 389,014 194,507 583,522 291,761 875,284 437,642 218,821 656,464 328,232 164,116 82,058 41,029 123,088 61,544 30,772 15,386 7,693 23,080 11,540 5,770 2,885 8,656 4,328 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28

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