λ
Harmonic Matrix

6,055,738

2 × 13 × 89 × 2617
Deficient Even Composite

6,055,738 has digital root 7. The neighboring primes are 6055729 and 6055747; its proper-divisor sum differs from the starting integer by -2,215,436.

Prime Factor Structure

Factorization String 2 × 13 × 89 × 2617
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,896,040
Proper Divisor Sum 3,840,302
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6055729 ← → #6055747

Radix Representation

Decimal 6055738
Binary 10111000110011100111010 (23 bits)
Octal 0o27063472
Hexadecimal 0x5C673A

Divisor Catalog (16)

1 2 13 26 89 178 1,157 2,314 2,617 5,234 34,021 68,042 232,913 465,826 3,027,869 6,055,738

Collatz Trajectory (196 steps to reach 1)

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

6,055,738 3,027,869 9,083,608 4,541,804 2,270,902 1,135,451 3,406,354 1,703,177 5,109,532 2,554,766 1,277,383 3,832,150 1,916,075 5,748,226 2,874,113 8,622,340 4,311,170 2,155,585 6,466,756 3,233,378 1,616,689 4,850,068 2,425,034 1,212,517 3,637,552 1,818,776 909,388 454,694 227,347 682,042 341,021 1,023,064 511,532 255,766 127,883 383,650 191,825 575,476 287,738 143,869 431,608 215,804 107,902 53,951 161,854 80,927 242,782 121,391 364,174 182,087 546,262 273,131 819,394 409,697 1,229,092 614,546 307,273 921,820 460,910 230,455

More profiles

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