λ
Harmonic Matrix

3,437,661

3 × 599 × 1913
Deficient Odd Composite

3,437,661 has digital root 3. The neighboring primes are 3437659 and 3437669; its proper-divisor sum differs from the starting integer by -2,281,722.

Prime Factor Structure

Factorization String 3 × 599 × 1913
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,593,600
Proper Divisor Sum 1,155,939
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3437659 ← → #3437669

Radix Representation

Decimal 3437661
Binary 1101000111010001011101 (22 bits)
Octal 0o15072135
Hexadecimal 0x34745D

Divisor Catalog (8)

1 3 599 1,797 1,913 5,739 1,145,887 3,437,661

Collatz Trajectory (146 steps to reach 1)

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

3,437,661 10,312,984 5,156,492 2,578,246 1,289,123 3,867,370 1,933,685 5,801,056 2,900,528 1,450,264 725,132 362,566 181,283 543,850 271,925 815,776 407,888 203,944 101,972 50,986 25,493 76,480 38,240 19,120 9,560 4,780 2,390 1,195 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103

More profiles

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