λ
Harmonic Matrix

8,325,442

2 × 4162721
Deficient Even Composite

8,325,442 has digital root 1. The neighboring primes are 8325437 and 8325467; its proper-divisor sum differs from the starting integer by -4,162,718.

Prime Factor Structure

Factorization String 2 × 4162721
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,488,166
Proper Divisor Sum 4,162,724
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8325437 ← → #8325467

Radix Representation

Decimal 8325442
Binary 11111110000100101000010 (23 bits)
Octal 0o37604502
Hexadecimal 0x7F0942

Divisor Catalog (4)

1 2 4,162,721 8,325,442

Collatz Trajectory (243 steps to reach 1)

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

8,325,442 4,162,721 12,488,164 6,244,082 3,122,041 9,366,124 4,683,062 2,341,531 7,024,594 3,512,297 10,536,892 5,268,446 2,634,223 7,902,670 3,951,335 11,854,006 5,927,003 17,781,010 8,890,505 26,671,516 13,335,758 6,667,879 20,003,638 10,001,819 30,005,458 15,002,729 45,008,188 22,504,094 11,252,047 33,756,142 16,878,071 50,634,214 25,317,107 75,951,322 37,975,661 113,926,984 56,963,492 28,481,746 14,240,873 42,722,620 21,361,310 10,680,655 32,041,966 16,020,983 48,062,950 24,031,475 72,094,426 36,047,213 108,141,640 54,070,820 27,035,410 13,517,705 40,553,116 20,276,558 10,138,279 30,414,838 15,207,419 45,622,258 22,811,129 68,433,388

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