λ
Harmonic Matrix

1,724,523

3 × 631 × 911
Deficient Odd Composite

1,724,523 has digital root 6. The neighboring primes are 1724509 and 1724537; its proper-divisor sum differs from the starting integer by -1,143,510.

Prime Factor Structure

Factorization String 3 × 631 × 911
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,305,536
Proper Divisor Sum 581,013
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1724509 ← → #1724537

Radix Representation

Decimal 1724523
Binary 110100101000001101011 (21 bits)
Octal 0o6450153
Hexadecimal 0x1A506B

Divisor Catalog (8)

1 3 631 911 1,893 2,733 574,841 1,724,523

Collatz Trajectory (220 steps to reach 1)

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

1,724,523 5,173,570 2,586,785 7,760,356 3,880,178 1,940,089 5,820,268 2,910,134 1,455,067 4,365,202 2,182,601 6,547,804 3,273,902 1,636,951 4,910,854 2,455,427 7,366,282 3,683,141 11,049,424 5,524,712 2,762,356 1,381,178 690,589 2,071,768 1,035,884 517,942 258,971 776,914 388,457 1,165,372 582,686 291,343 874,030 437,015 1,311,046 655,523 1,966,570 983,285 2,949,856 1,474,928 737,464 368,732 184,366 92,183 276,550 138,275 414,826 207,413 622,240 311,120 155,560 77,780 38,890 19,445 58,336 29,168 14,584 7,292 3,646 1,823

More profiles

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