λ
Harmonic Matrix

5,426,795

5 × 11 × 98669
Deficient Odd Composite

5,426,795 has digital root 2. The neighboring primes are 5426779 and 5426807; its proper-divisor sum differs from the starting integer by -3,749,350.

Prime Factor Structure

Factorization String 5 × 11 × 98669
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,104,240
Proper Divisor Sum 1,677,445
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5426779 ← → #5426807

Radix Representation

Decimal 5426795
Binary 10100101100111001101011 (23 bits)
Octal 0o24547153
Hexadecimal 0x52CE6B

Divisor Catalog (8)

1 5 11 55 98,669 493,345 1,085,359 5,426,795

Collatz Trajectory (232 steps to reach 1)

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

5,426,795 16,280,386 8,140,193 24,420,580 12,210,290 6,105,145 18,315,436 9,157,718 4,578,859 13,736,578 6,868,289 20,604,868 10,302,434 5,151,217 15,453,652 7,726,826 3,863,413 11,590,240 5,795,120 2,897,560 1,448,780 724,390 362,195 1,086,586 543,293 1,629,880 814,940 407,470 203,735 611,206 305,603 916,810 458,405 1,375,216 687,608 343,804 171,902 85,951 257,854 128,927 386,782 193,391 580,174 290,087 870,262 435,131 1,305,394 652,697 1,958,092 979,046 489,523 1,468,570 734,285 2,202,856 1,101,428 550,714 275,357 826,072 413,036 206,518

More profiles

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