λ
Harmonic Matrix

2,821,165

5 × 564233
Deficient Odd Composite

2,821,165 has digital root 7. The neighboring primes are 2821163 and 2821183; its proper-divisor sum differs from the starting integer by -2,256,926.

Prime Factor Structure

Factorization String 5 × 564233
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,385,404
Proper Divisor Sum 564,239
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2821163 ← → #2821183

Radix Representation

Decimal 2821165
Binary 1010110000110000101101 (22 bits)
Octal 0o12606055
Hexadecimal 0x2B0C2D

Divisor Catalog (4)

1 5 564,233 2,821,165

Collatz Trajectory (169 steps to reach 1)

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

2,821,165 8,463,496 4,231,748 2,115,874 1,057,937 3,173,812 1,586,906 793,453 2,380,360 1,190,180 595,090 297,545 892,636 446,318 223,159 669,478 334,739 1,004,218 502,109 1,506,328 753,164 376,582 188,291 564,874 282,437 847,312 423,656 211,828 105,914 52,957 158,872 79,436 39,718 19,859 59,578 29,789 89,368 44,684 22,342 11,171 33,514 16,757 50,272 25,136 12,568 6,284 3,142 1,571 4,714 2,357 7,072 3,536 1,768 884 442 221 664 332 166 83

More profiles

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