λ
Harmonic Matrix

6,306,242

2 × 3153121
Deficient Even Composite

6,306,242 has digital root 5. The neighboring primes are 6306211 and 6306263; its proper-divisor sum differs from the starting integer by -3,153,118.

Prime Factor Structure

Factorization String 2 × 3153121
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,459,366
Proper Divisor Sum 3,153,124
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #6306211 ← → #6306263

Radix Representation

Decimal 6306242
Binary 11000000011100111000010 (23 bits)
Octal 0o30034702
Hexadecimal 0x6039C2

Divisor Catalog (4)

1 2 3,153,121 6,306,242

Collatz Trajectory (90 steps to reach 1)

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

6,306,242 3,153,121 9,459,364 4,729,682 2,364,841 7,094,524 3,547,262 1,773,631 5,320,894 2,660,447 7,981,342 3,990,671 11,972,014 5,986,007 17,958,022 8,979,011 26,937,034 13,468,517 40,405,552 20,202,776 10,101,388 5,050,694 2,525,347 7,576,042 3,788,021 11,364,064 5,682,032 2,841,016 1,420,508 710,254 355,127 1,065,382 532,691 1,598,074 799,037 2,397,112 1,198,556 599,278 299,639 898,918 449,459 1,348,378 674,189 2,022,568 1,011,284 505,642 252,821 758,464 379,232 189,616 94,808 47,404 23,702 11,851 35,554 17,777 53,332 26,666 13,333 40,000

More profiles

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