λ
Harmonic Matrix

8,356,489

8356489
Deficient Odd Prime

8,356,489 has digital root 7. The neighboring primes are 8356423 and 8356499; its proper-divisor sum differs from the starting integer by -8,356,488.

Prime Factor Structure

Factorization String 8356489
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,356,490
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8356423 ← → #8356499

Radix Representation

Decimal 8356489
Binary 11111111000001010001001 (23 bits)
Octal 0o37701211
Hexadecimal 0x7F8289

Divisor Catalog (2)

1 8,356,489

Collatz Trajectory (212 steps to reach 1)

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

8,356,489 25,069,468 12,534,734 6,267,367 18,802,102 9,401,051 28,203,154 14,101,577 42,304,732 21,152,366 10,576,183 31,728,550 15,864,275 47,592,826 23,796,413 71,389,240 35,694,620 17,847,310 8,923,655 26,770,966 13,385,483 40,156,450 20,078,225 60,234,676 30,117,338 15,058,669 45,176,008 22,588,004 11,294,002 5,647,001 16,941,004 8,470,502 4,235,251 12,705,754 6,352,877 19,058,632 9,529,316 4,764,658 2,382,329 7,146,988 3,573,494 1,786,747 5,360,242 2,680,121 8,040,364 4,020,182 2,010,091 6,030,274 3,015,137 9,045,412 4,522,706 2,261,353 6,784,060 3,392,030 1,696,015 5,088,046 2,544,023 7,632,070 3,816,035 11,448,106

More profiles

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