λ
Harmonic Matrix

8,601,326

2 × 67 × 64189
Deficient Even Composite

8,601,326 has digital root 8. The neighboring primes are 8601293 and 8601331; its proper-divisor sum differs from the starting integer by -4,107,892.

Prime Factor Structure

Factorization String 2 × 67 × 64189
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,094,760
Proper Divisor Sum 4,493,434
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8601293 ← → #8601331

Radix Representation

Decimal 8601326
Binary 100000110011111011101110 (24 bits)
Octal 0o40637356
Hexadecimal 0x833EEE

Divisor Catalog (8)

1 2 67 134 64,189 128,378 4,300,663 8,601,326

Collatz Trajectory (80 steps to reach 1)

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

8,601,326 4,300,663 12,901,990 6,450,995 19,352,986 9,676,493 29,029,480 14,514,740 7,257,370 3,628,685 10,886,056 5,443,028 2,721,514 1,360,757 4,082,272 2,041,136 1,020,568 510,284 255,142 127,571 382,714 191,357 574,072 287,036 143,518 71,759 215,278 107,639 322,918 161,459 484,378 242,189 726,568 363,284 181,642 90,821 272,464 136,232 68,116 34,058 17,029 51,088 25,544 12,772 6,386 3,193 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098

More profiles

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