λ
Harmonic Matrix

1,048,520

23 × 5 × 11 × 2383
Abundant Even Composite

1,048,520 has digital root 2. The neighboring primes are 1048517 and 1048549; its proper-divisor sum differs from the starting integer by 477,680.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 2383
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,574,720
Proper Divisor Sum 1,526,200
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1048517 ← → #1048549

Radix Representation

Decimal 1048520
Binary 11111111111111001000 (20 bits)
Octal 0o3777710
Hexadecimal 0xFFFC8

Divisor Catalog (32)

1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2,383 4,766 9,532 11,915 19,064 23,830 26,213 47,660 52,426 95,320 104,852 131,065 209,704 262,130 524,260 1,048,520

Collatz Trajectory (77 steps to reach 1)

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

1,048,520 524,260 262,130 131,065 393,196 196,598 98,299 294,898 147,449 442,348 221,174 110,587 331,762 165,881 497,644 248,822 124,411 373,234 186,617 559,852 279,926 139,963 419,890 209,945 629,836 314,918 157,459 472,378 236,189 708,568 354,284 177,142 88,571 265,714 132,857 398,572 199,286 99,643 298,930 149,465 448,396 224,198 112,099 336,298 168,149 504,448 252,224 126,112 63,056 31,528 15,764 7,882 3,941 11,824 5,912 2,956 1,478 739 2,218 1,109

More profiles

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