λ
Harmonic Matrix

2,141,042

2 × 37 × 28933
Deficient Even Composite

2,141,042 has digital root 5. The neighboring primes are 2141033 and 2141057; its proper-divisor sum differs from the starting integer by -983,608.

Prime Factor Structure

Factorization String 2 × 37 × 28933
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,298,476
Proper Divisor Sum 1,157,434
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #2141033 ← → #2141057

Radix Representation

Decimal 2141042
Binary 1000001010101101110010 (22 bits)
Octal 0o10125562
Hexadecimal 0x20AB72

Divisor Catalog (8)

1 2 37 74 28,933 57,866 1,070,521 2,141,042

Collatz Trajectory (166 steps to reach 1)

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

2,141,042 1,070,521 3,211,564 1,605,782 802,891 2,408,674 1,204,337 3,613,012 1,806,506 903,253 2,709,760 1,354,880 677,440 338,720 169,360 84,680 42,340 21,170 10,585 31,756 15,878 7,939 23,818 11,909 35,728 17,864 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380

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