λ
Harmonic Matrix

6,054,342

2 × 3 × 72 × 20593
Abundant Even Composite

6,054,342 has digital root 6. The neighboring primes are 6054341 and 6054353; its proper-divisor sum differs from the starting integer by 1,977,612.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 20593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,086,296
Proper Divisor Sum 8,031,954
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6054341 ← → #6054353

Radix Representation

Decimal 6054342
Binary 10111000110000111000110 (23 bits)
Octal 0o27060706
Hexadecimal 0x5C61C6

Divisor Catalog (24)

1 2 3 6 7 14 21 42 49 98 147 294 20,593 41,186 61,779 123,558 144,151 288,302 432,453 864,906 1,009,057 2,018,114 3,027,171 6,054,342

Collatz Trajectory (59 steps to reach 1)

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

6,054,342 3,027,171 9,081,514 4,540,757 13,622,272 6,811,136 3,405,568 1,702,784 851,392 425,696 212,848 106,424 53,212 26,606 13,303 39,910 19,955 59,866 29,933 89,800 44,900 22,450 11,225 33,676 16,838 8,419 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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