λ
Harmonic Matrix

8,015,486

2 × 1811 × 2213
Deficient Even Composite

8,015,486 has digital root 5. The neighboring primes are 8015443 and 8015489; its proper-divisor sum differs from the starting integer by -3,995,668.

Prime Factor Structure

Factorization String 2 × 1811 × 2213
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,035,304
Proper Divisor Sum 4,019,818
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8015443 ← → #8015489

Radix Representation

Decimal 8015486
Binary 11110100100111001111110 (23 bits)
Octal 0o36447176
Hexadecimal 0x7A4E7E

Divisor Catalog (8)

1 2 1,811 2,213 3,622 4,426 4,007,743 8,015,486

Collatz Trajectory (93 steps to reach 1)

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

8,015,486 4,007,743 12,023,230 6,011,615 18,034,846 9,017,423 27,052,270 13,526,135 40,578,406 20,289,203 60,867,610 30,433,805 91,301,416 45,650,708 22,825,354 11,412,677 34,238,032 17,119,016 8,559,508 4,279,754 2,139,877 6,419,632 3,209,816 1,604,908 802,454 401,227 1,203,682 601,841 1,805,524 902,762 451,381 1,354,144 677,072 338,536 169,268 84,634 42,317 126,952 63,476 31,738 15,869 47,608 23,804 11,902 5,951 17,854 8,927 26,782 13,391 40,174 20,087 60,262 30,131 90,394 45,197 135,592 67,796 33,898 16,949 50,848

More profiles

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