λ
Harmonic Matrix

7,093,734

2 × 3 × 1182289
Abundant Even Composite

7,093,734 has digital root 6. The neighboring primes are 7093727 and 7093739; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1182289
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,187,480
Proper Divisor Sum 7,093,746
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7093727 ← → #7093739

Radix Representation

Decimal 7093734
Binary 11011000011110111100110 (23 bits)
Octal 0o33036746
Hexadecimal 0x6C3DE6

Divisor Catalog (8)

1 2 3 6 1,182,289 2,364,578 3,546,867 7,093,734

Collatz Trajectory (98 steps to reach 1)

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

7,093,734 3,546,867 10,640,602 5,320,301 15,960,904 7,980,452 3,990,226 1,995,113 5,985,340 2,992,670 1,496,335 4,489,006 2,244,503 6,733,510 3,366,755 10,100,266 5,050,133 15,150,400 7,575,200 3,787,600 1,893,800 946,900 473,450 236,725 710,176 355,088 177,544 88,772 44,386 22,193 66,580 33,290 16,645 49,936 24,968 12,484 6,242 3,121 9,364 4,682 2,341 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209

More profiles

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