λ
Harmonic Matrix

2,841,734

2 × 7 × 202981
Deficient Even Composite

2,841,734 has digital root 2. The neighboring primes are 2841733 and 2841749; its proper-divisor sum differs from the starting integer by -811,900.

Prime Factor Structure

Factorization String 2 × 7 × 202981
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,871,568
Proper Divisor Sum 2,029,834
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2841733 ← → #2841749

Radix Representation

Decimal 2841734
Binary 1010110101110010000110 (22 bits)
Octal 0o12656206
Hexadecimal 0x2B5C86

Divisor Catalog (8)

1 2 7 14 202,981 405,962 1,420,867 2,841,734

Collatz Trajectory (99 steps to reach 1)

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

2,841,734 1,420,867 4,262,602 2,131,301 6,393,904 3,196,952 1,598,476 799,238 399,619 1,198,858 599,429 1,798,288 899,144 449,572 224,786 112,393 337,180 168,590 84,295 252,886 126,443 379,330 189,665 568,996 284,498 142,249 426,748 213,374 106,687 320,062 160,031 480,094 240,047 720,142 360,071 1,080,214 540,107 1,620,322 810,161 2,430,484 1,215,242 607,621 1,822,864 911,432 455,716 227,858 113,929 341,788 170,894 85,447 256,342 128,171 384,514 192,257 576,772 288,386 144,193 432,580 216,290 108,145

More profiles

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