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Atlas › Integer Profiles › Node 24,290,392

24,290,392

23 × 7 × 23 × 18859
Abundant Even Composite

24,290,392 factors as 2^3 × 7 × 23 × 18859. Its 32 positive divisors give a proper-divisor sum of 30,026,408, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 23 × 18859
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 54,316,800
Proper Divisor Sum 30,026,408
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #24290363 ← → #24290393

Radix Representation

Decimal 24290392
Binary 1011100101010010001011000 (25 bits)
Octal 0o134522130
Hexadecimal 0x172A458

Divisor Catalog (32)

1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1,288 18,859 37,718 75,436 132,013 150,872 264,026 433,757 528,052 867,514 1,056,104 1,735,028 3,036,299 3,470,056 6,072,598 12,145,196 24,290,392

Collatz Trajectory (84 steps to reach 1)

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

24,290,392 12,145,196 6,072,598 3,036,299 9,108,898 4,554,449 13,663,348 6,831,674 3,415,837 10,247,512 5,123,756 2,561,878 1,280,939 3,842,818 1,921,409 5,764,228 2,882,114 1,441,057 4,323,172 2,161,586 1,080,793 3,242,380 1,621,190 810,595 2,431,786 1,215,893 3,647,680 1,823,840 911,920 455,960 227,980 113,990 56,995 170,986 85,493 256,480 128,240 64,120 32,060 16,030 8,015 24,046 12,023 36,070 18,035 54,106 27,053 81,160 40,580 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684

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