λ
Harmonic Matrix

1,646,584

23 × 205823
Deficient Even Composite

1,646,584 has digital root 7. The neighboring primes are 1646581 and 1646609; its proper-divisor sum differs from the starting integer by -205,808.

Prime Factor Structure

Factorization String 2^3 × 205823
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,087,360
Proper Divisor Sum 1,440,776
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1646581 ← → #1646609

Radix Representation

Decimal 1646584
Binary 110010001111111111000 (21 bits)
Octal 0o6217770
Hexadecimal 0x191FF8

Divisor Catalog (8)

1 2 4 8 205,823 411,646 823,292 1,646,584

Collatz Trajectory (145 steps to reach 1)

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

1,646,584 823,292 411,646 205,823 617,470 308,735 926,206 463,103 1,389,310 694,655 2,083,966 1,041,983 3,125,950 1,562,975 4,688,926 2,344,463 7,033,390 3,516,695 10,550,086 5,275,043 15,825,130 7,912,565 23,737,696 11,868,848 5,934,424 2,967,212 1,483,606 741,803 2,225,410 1,112,705 3,338,116 1,669,058 834,529 2,503,588 1,251,794 625,897 1,877,692 938,846 469,423 1,408,270 704,135 2,112,406 1,056,203 3,168,610 1,584,305 4,752,916 2,376,458 1,188,229 3,564,688 1,782,344 891,172 445,586 222,793 668,380 334,190 167,095 501,286 250,643 751,930 375,965

More profiles

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