λ
Harmonic Matrix

8,324,066

2 × 41 × 101513
Deficient Even Composite

8,324,066 has digital root 2. The neighboring primes are 8324059 and 8324077; its proper-divisor sum differs from the starting integer by -3,857,368.

Prime Factor Structure

Factorization String 2 × 41 × 101513
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,790,764
Proper Divisor Sum 4,466,698
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8324059 ← → #8324077

Radix Representation

Decimal 8324066
Binary 11111110000001111100010 (23 bits)
Octal 0o37601742
Hexadecimal 0x7F03E2

Divisor Catalog (8)

1 2 41 82 101,513 203,026 4,162,033 8,324,066

Collatz Trajectory (106 steps to reach 1)

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

8,324,066 4,162,033 12,486,100 6,243,050 3,121,525 9,364,576 4,682,288 2,341,144 1,170,572 585,286 292,643 877,930 438,965 1,316,896 658,448 329,224 164,612 82,306 41,153 123,460 61,730 30,865 92,596 46,298 23,149 69,448 34,724 17,362 8,681 26,044 13,022 6,511 19,534 9,767 29,302 14,651 43,954 21,977 65,932 32,966 16,483 49,450 24,725 74,176 37,088 18,544 9,272 4,636 2,318 1,159 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468

More profiles

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