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4,789,424

24 × 127 × 2357
Deficient Even Composite

4,789,424 factors as 2^4 × 127 × 2357. Its 20 positive divisors give a proper-divisor sum of 4,567,120, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^4 × 127 × 2357
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 9,356,544
Proper Divisor Sum 4,567,120
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #4789409 ← → #4789453

Radix Representation

Decimal 4789424
Binary 10010010001010010110000 (23 bits)
Octal 0o22212260
Hexadecimal 0x4914B0

Divisor Catalog (20)

1 2 4 8 16 127 254 508 1,016 2,032 2,357 4,714 9,428 18,856 37,712 299,339 598,678 1,197,356 2,394,712 4,789,424

Collatz Trajectory (193 steps to reach 1)

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

4,789,424 2,394,712 1,197,356 598,678 299,339 898,018 449,009 1,347,028 673,514 336,757 1,010,272 505,136 252,568 126,284 63,142 31,571 94,714 47,357 142,072 71,036 35,518 17,759 53,278 26,639 79,918 39,959 119,878 59,939 179,818 89,909 269,728 134,864 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074

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