λ
Harmonic Matrix

2,820,165

3 × 5 × 188011
Deficient Odd Composite

2,820,165 has digital root 6. The neighboring primes are 2820131 and 2820179; its proper-divisor sum differs from the starting integer by -1,128,042.

Prime Factor Structure

Factorization String 3 × 5 × 188011
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,512,288
Proper Divisor Sum 1,692,123
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2820131 ← → #2820179

Radix Representation

Decimal 2820165
Binary 1010110000100001000101 (22 bits)
Octal 0o12604105
Hexadecimal 0x2B0845

Divisor Catalog (8)

1 3 5 15 188,011 564,033 940,055 2,820,165

Collatz Trajectory (76 steps to reach 1)

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

2,820,165 8,460,496 4,230,248 2,115,124 1,057,562 528,781 1,586,344 793,172 396,586 198,293 594,880 297,440 148,720 74,360 37,180 18,590 9,295 27,886 13,943 41,830 20,915 62,746 31,373 94,120 47,060 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14

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