λ
Harmonic Matrix

1,649,980

22 × 5 × 82499
Abundant Even Composite

1,649,980 has digital root 1. The neighboring primes are 1649959 and 1649981; its proper-divisor sum differs from the starting integer by 165,040.

Prime Factor Structure

Factorization String 2^2 × 5 × 82499
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,465,000
Proper Divisor Sum 1,815,020
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1649959 ← → #1649981

Radix Representation

Decimal 1649980
Binary 110010010110100111100 (21 bits)
Octal 0o6226474
Hexadecimal 0x192D3C

Divisor Catalog (12)

1 2 4 5 10 20 82,499 164,998 329,996 412,495 824,990 1,649,980

Collatz Trajectory (145 steps to reach 1)

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

1,649,980 824,990 412,495 1,237,486 618,743 1,856,230 928,115 2,784,346 1,392,173 4,176,520 2,088,260 1,044,130 522,065 1,566,196 783,098 391,549 1,174,648 587,324 293,662 146,831 440,494 220,247 660,742 330,371 991,114 495,557 1,486,672 743,336 371,668 185,834 92,917 278,752 139,376 69,688 34,844 17,422 8,711 26,134 13,067 39,202 19,601 58,804 29,402 14,701 44,104 22,052 11,026 5,513 16,540 8,270 4,135 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469

More profiles

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