λ
Harmonic Matrix

4,027,542

2 × 3 × 671257
Abundant Even Composite

4,027,542 has digital root 6. The neighboring primes are 4027519 and 4027547; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 671257
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,055,096
Proper Divisor Sum 4,027,554
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4027519 ← → #4027547

Radix Representation

Decimal 4027542
Binary 1111010111010010010110 (22 bits)
Octal 0o17272226
Hexadecimal 0x3D7496

Divisor Catalog (8)

1 2 3 6 671,257 1,342,514 2,013,771 4,027,542

Collatz Trajectory (92 steps to reach 1)

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

4,027,542 2,013,771 6,041,314 3,020,657 9,061,972 4,530,986 2,265,493 6,796,480 3,398,240 1,699,120 849,560 424,780 212,390 106,195 318,586 159,293 477,880 238,940 119,470 59,735 179,206 89,603 268,810 134,405 403,216 201,608 100,804 50,402 25,201 75,604 37,802 18,901 56,704 28,352 14,176 7,088 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119

More profiles

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