λ
Harmonic Matrix

6,049,719

32 × 13 × 29 × 1783
Deficient Odd Composite

6,049,719 has digital root 9. The neighboring primes are 6049717 and 6049721; its proper-divisor sum differs from the starting integer by -2,358,798.

Prime Factor Structure

Factorization String 3^2 × 13 × 29 × 1783
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,740,640
Proper Divisor Sum 3,690,921
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6049717 ← → #6049721

Radix Representation

Decimal 6049719
Binary 10111000100111110110111 (23 bits)
Octal 0o27047667
Hexadecimal 0x5C4FB7

Divisor Catalog (24)

1 3 9 13 29 39 87 117 261 377 1,131 1,783 3,393 5,349 16,047 23,179 51,707 69,537 155,121 208,611 465,363 672,191 2,016,573 6,049,719

Collatz Trajectory (183 steps to reach 1)

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

6,049,719 18,149,158 9,074,579 27,223,738 13,611,869 40,835,608 20,417,804 10,208,902 5,104,451 15,313,354 7,656,677 22,970,032 11,485,016 5,742,508 2,871,254 1,435,627 4,306,882 2,153,441 6,460,324 3,230,162 1,615,081 4,845,244 2,422,622 1,211,311 3,633,934 1,816,967 5,450,902 2,725,451 8,176,354 4,088,177 12,264,532 6,132,266 3,066,133 9,198,400 4,599,200 2,299,600 1,149,800 574,900 287,450 143,725 431,176 215,588 107,794 53,897 161,692 80,846 40,423 121,270 60,635 181,906 90,953 272,860 136,430 68,215 204,646 102,323 306,970 153,485 460,456 230,228

More profiles

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