λ
Harmonic Matrix

9,426,582

2 × 32 × 11 × 47609
Abundant Even Composite

9,426,582 has digital root 9. The neighboring primes are 9426581 and 9426583; its proper-divisor sum differs from the starting integer by 3,428,316.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 47609
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,281,480
Proper Divisor Sum 12,854,898
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9426581 ← → #9426583

Radix Representation

Decimal 9426582
Binary 100011111101011010010110 (24 bits)
Octal 0o43753226
Hexadecimal 0x8FD696

Divisor Catalog (24)

1 2 3 6 9 11 18 22 33 66 99 198 47,609 95,218 142,827 285,654 428,481 523,699 856,962 1,047,398 1,571,097 3,142,194 4,713,291 9,426,582

Collatz Trajectory (163 steps to reach 1)

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

9,426,582 4,713,291 14,139,874 7,069,937 21,209,812 10,604,906 5,302,453 15,907,360 7,953,680 3,976,840 1,988,420 994,210 497,105 1,491,316 745,658 372,829 1,118,488 559,244 279,622 139,811 419,434 209,717 629,152 314,576 157,288 78,644 39,322 19,661 58,984 29,492 14,746 7,373 22,120 11,060 5,530 2,765 8,296 4,148 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47

More profiles

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