λ
Harmonic Matrix

8,058,939

3 × 7 × 383759
Deficient Odd Composite

8,058,939 has digital root 6. The neighboring primes are 8058937 and 8059033; its proper-divisor sum differs from the starting integer by -3,837,558.

Prime Factor Structure

Factorization String 3 × 7 × 383759
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,280,320
Proper Divisor Sum 4,221,381
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8058937 ← → #8059033

Radix Representation

Decimal 8058939
Binary 11110101111100000111011 (23 bits)
Octal 0o36574073
Hexadecimal 0x7AF83B

Divisor Catalog (8)

1 3 7 21 383,759 1,151,277 2,686,313 8,058,939

Collatz Trajectory (93 steps to reach 1)

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

8,058,939 24,176,818 12,088,409 36,265,228 18,132,614 9,066,307 27,198,922 13,599,461 40,798,384 20,399,192 10,199,596 5,099,798 2,549,899 7,649,698 3,824,849 11,474,548 5,737,274 2,868,637 8,605,912 4,302,956 2,151,478 1,075,739 3,227,218 1,613,609 4,840,828 2,420,414 1,210,207 3,630,622 1,815,311 5,445,934 2,722,967 8,168,902 4,084,451 12,253,354 6,126,677 18,380,032 9,190,016 4,595,008 2,297,504 1,148,752 574,376 287,188 143,594 71,797 215,392 107,696 53,848 26,924 13,462 6,731 20,194 10,097 30,292 15,146 7,573 22,720 11,360 5,680 2,840 1,420

More profiles

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