λ
Harmonic Matrix

6,131,173

2411 × 2543
Deficient Odd Composite

6,131,173 has digital root 4. The neighboring primes are 6131131 and 6131189; its proper-divisor sum differs from the starting integer by -6,126,218.

Prime Factor Structure

Factorization String 2411 × 2543
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,136,128
Proper Divisor Sum 4,955
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #6131131 ← → #6131189

Radix Representation

Decimal 6131173
Binary 10111011000110111100101 (23 bits)
Octal 0o27306745
Hexadecimal 0x5D8DE5

Divisor Catalog (4)

1 2,411 2,543 6,131,173

Collatz Trajectory (227 steps to reach 1)

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

6,131,173 18,393,520 9,196,760 4,598,380 2,299,190 1,149,595 3,448,786 1,724,393 5,173,180 2,586,590 1,293,295 3,879,886 1,939,943 5,819,830 2,909,915 8,729,746 4,364,873 13,094,620 6,547,310 3,273,655 9,820,966 4,910,483 14,731,450 7,365,725 22,097,176 11,048,588 5,524,294 2,762,147 8,286,442 4,143,221 12,429,664 6,214,832 3,107,416 1,553,708 776,854 388,427 1,165,282 582,641 1,747,924 873,962 436,981 1,310,944 655,472 327,736 163,868 81,934 40,967 122,902 61,451 184,354 92,177 276,532 138,266 69,133 207,400 103,700 51,850 25,925 77,776 38,888

More profiles

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