λ
Harmonic Matrix

2,104,749

32 × 233861
Deficient Odd Composite

2,104,749 has digital root 9. The neighboring primes are 2104747 and 2104757; its proper-divisor sum differs from the starting integer by -1,169,292.

Prime Factor Structure

Factorization String 3^2 × 233861
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 3,040,206
Proper Divisor Sum 935,457
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2104747 ← → #2104757

Radix Representation

Decimal 2104749
Binary 1000000001110110101101 (22 bits)
Octal 0o10016655
Hexadecimal 0x201DAD

Divisor Catalog (6)

1 3 9 233,861 701,583 2,104,749

Collatz Trajectory (166 steps to reach 1)

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

2,104,749 6,314,248 3,157,124 1,578,562 789,281 2,367,844 1,183,922 591,961 1,775,884 887,942 443,971 1,331,914 665,957 1,997,872 998,936 499,468 249,734 124,867 374,602 187,301 561,904 280,952 140,476 70,238 35,119 105,358 52,679 158,038 79,019 237,058 118,529 355,588 177,794 88,897 266,692 133,346 66,673 200,020 100,010 50,005 150,016 75,008 37,504 18,752 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376

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