λ
Harmonic Matrix

3,029,749

83 × 173 × 211
Deficient Odd Composite

3,029,749 has digital root 7. The neighboring primes are 3029731 and 3029753; its proper-divisor sum differs from the starting integer by -2,960,906.

Prime Factor Structure

Factorization String 83 × 173 × 211
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,098,592
Proper Divisor Sum 68,843
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3029731 ← → #3029753

Radix Representation

Decimal 3029749
Binary 1011100011101011110101 (22 bits)
Octal 0o13435365
Hexadecimal 0x2E3AF5

Divisor Catalog (8)

1 83 173 211 14,359 17,513 36,503 3,029,749

Collatz Trajectory (107 steps to reach 1)

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

3,029,749 9,089,248 4,544,624 2,272,312 1,136,156 568,078 284,039 852,118 426,059 1,278,178 639,089 1,917,268 958,634 479,317 1,437,952 718,976 359,488 179,744 89,872 44,936 22,468 11,234 5,617 16,852 8,426 4,213 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238

More profiles

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