λ
Harmonic Matrix

4,250,050

2 × 52 × 7 × 12143
Abundant Even Composite

4,250,050 has digital root 7. The neighboring primes are 4250047 and 4250063; its proper-divisor sum differs from the starting integer by 535,036.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 12143
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,035,136
Proper Divisor Sum 4,785,086
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #4250047 ← → #4250063

Radix Representation

Decimal 4250050
Binary 10000001101100111000010 (23 bits)
Octal 0o20154702
Hexadecimal 0x40D9C2

Divisor Catalog (24)

1 2 5 7 10 14 25 35 50 70 175 350 12,143 24,286 60,715 85,001 121,430 170,002 303,575 425,005 607,150 850,010 2,125,025 4,250,050

Collatz Trajectory (198 steps to reach 1)

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

4,250,050 2,125,025 6,375,076 3,187,538 1,593,769 4,781,308 2,390,654 1,195,327 3,585,982 1,792,991 5,378,974 2,689,487 8,068,462 4,034,231 12,102,694 6,051,347 18,154,042 9,077,021 27,231,064 13,615,532 6,807,766 3,403,883 10,211,650 5,105,825 15,317,476 7,658,738 3,829,369 11,488,108 5,744,054 2,872,027 8,616,082 4,308,041 12,924,124 6,462,062 3,231,031 9,693,094 4,846,547 14,539,642 7,269,821 21,809,464 10,904,732 5,452,366 2,726,183 8,178,550 4,089,275 12,267,826 6,133,913 18,401,740 9,200,870 4,600,435 13,801,306 6,900,653 20,701,960 10,350,980 5,175,490 2,587,745 7,763,236 3,881,618 1,940,809 5,822,428

More profiles

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