λ
Harmonic Matrix

5,146,026

2 × 3 × 857671
Abundant Even Composite

5,146,026 has digital root 6. The neighboring primes are 5146003 and 5146061; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 857671
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,292,064
Proper Divisor Sum 5,146,038
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5146003 ← → #5146061

Radix Representation

Decimal 5146026
Binary 10011101000010110101010 (23 bits)
Octal 0o23502652
Hexadecimal 0x4E85AA

Divisor Catalog (8)

1 2 3 6 857,671 1,715,342 2,573,013 5,146,026

Collatz Trajectory (126 steps to reach 1)

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

5,146,026 2,573,013 7,719,040 3,859,520 1,929,760 964,880 482,440 241,220 120,610 60,305 180,916 90,458 45,229 135,688 67,844 33,922 16,961 50,884 25,442 12,721 38,164 19,082 9,541 28,624 14,312 7,156 3,578 1,789 5,368 2,684 1,342 671 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453

More profiles

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