λ
Harmonic Matrix

9,165,590

2 × 5 × 7 × 127 × 1031
Abundant Even Composite

9,165,590 has digital root 8. The neighboring primes are 9165577 and 9165599; its proper-divisor sum differs from the starting integer by 690,644.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 127 × 1031
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,021,824
Proper Divisor Sum 9,856,234
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9165577 ← → #9165599

Radix Representation

Decimal 9165590
Binary 100010111101101100010110 (24 bits)
Octal 0o42755426
Hexadecimal 0x8BDB16

Divisor Catalog (32)

1 2 5 7 10 14 35 70 127 254 635 889 1,031 1,270 1,778 2,062 4,445 5,155 7,217 8,890 10,310 14,434 36,085 72,170 130,937 261,874 654,685 916,559 1,309,370 1,833,118 4,582,795 9,165,590

Collatz Trajectory (132 steps to reach 1)

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

9,165,590 4,582,795 13,748,386 6,874,193 20,622,580 10,311,290 5,155,645 15,466,936 7,733,468 3,866,734 1,933,367 5,800,102 2,900,051 8,700,154 4,350,077 13,050,232 6,525,116 3,262,558 1,631,279 4,893,838 2,446,919 7,340,758 3,670,379 11,011,138 5,505,569 16,516,708 8,258,354 4,129,177 12,387,532 6,193,766 3,096,883 9,290,650 4,645,325 13,935,976 6,967,988 3,483,994 1,741,997 5,225,992 2,612,996 1,306,498 653,249 1,959,748 979,874 489,937 1,469,812 734,906 367,453 1,102,360 551,180 275,590 137,795 413,386 206,693 620,080 310,040 155,020 77,510 38,755 116,266 58,133

More profiles

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