λ
Modular Archive

5,623,984

24 × 313 × 1123
Deficient Even Composite

The decimal integer 5,623,984 is 10101011101000010110000 in binary (23 bits), 25350260 in octal and 55D0B0 in hexadecimal. Its digit sum is 37.

Prime Factor Structure

Factorization String 2^4 × 313 × 1123
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 10,941,016
Proper Divisor Sum 5,317,032
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5623979 ← → #5624023

Radix Representation

Decimal 5623984
Binary 10101011101000010110000 (23 bits)
Octal 0o25350260
Hexadecimal 0x55D0B0

Divisor Catalog (20)

1 2 4 8 16 313 626 1,123 1,252 2,246 2,504 4,492 5,008 8,984 17,968 351,499 702,998 1,405,996 2,811,992 5,623,984

Collatz Trajectory (126 steps to reach 1)

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

5,623,984 2,811,992 1,405,996 702,998 351,499 1,054,498 527,249 1,581,748 790,874 395,437 1,186,312 593,156 296,578 148,289 444,868 222,434 111,217 333,652 166,826 83,413 250,240 125,120 62,560 31,280 15,640 7,820 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167

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