λ
Harmonic Matrix

1,739,993

421 × 4133
Deficient Odd Composite

1,739,993 has digital root 5. The neighboring primes are 1739981 and 1740041; its proper-divisor sum differs from the starting integer by -1,735,438.

Prime Factor Structure

Factorization String 421 × 4133
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,744,548
Proper Divisor Sum 4,555
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #1739981 ← → #1740041

Radix Representation

Decimal 1739993
Binary 110101000110011011001 (21 bits)
Octal 0o6506331
Hexadecimal 0x1A8CD9

Divisor Catalog (4)

1 421 4,133 1,739,993

Collatz Trajectory (145 steps to reach 1)

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

1,739,993 5,219,980 2,609,990 1,304,995 3,914,986 1,957,493 5,872,480 2,936,240 1,468,120 734,060 367,030 183,515 550,546 275,273 825,820 412,910 206,455 619,366 309,683 929,050 464,525 1,393,576 696,788 348,394 174,197 522,592 261,296 130,648 65,324 32,662 16,331 48,994 24,497 73,492 36,746 18,373 55,120 27,560 13,780 6,890 3,445 10,336 5,168 2,584 1,292 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310

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