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2,392,384

26 × 29 × 1289
Abundant Even Composite

2,392,384 factors as 2^6 × 29 × 1289. Its 28 positive divisors give a proper-divisor sum of 2,522,516, so this integer is abundant. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2^6 × 29 × 1289
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 4,914,900
Proper Divisor Sum 2,522,516
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2392373 ← → #2392421

Radix Representation

Decimal 2392384
Binary 1001001000000101000000 (22 bits)
Octal 0o11100500
Hexadecimal 0x248140

Divisor Catalog (28)

1 2 4 8 16 29 32 58 64 116 232 464 928 1,289 1,856 2,578 5,156 10,312 20,624 37,381 41,248 74,762 82,496 149,524 299,048 598,096 1,196,192 2,392,384

Collatz Trajectory (192 steps to reach 1)

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

2,392,384 1,196,192 598,096 299,048 149,524 74,762 37,381 112,144 56,072 28,036 14,018 7,009 21,028 10,514 5,257 15,772 7,886 3,943 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543 151,630 75,815 227,446 113,723 341,170 170,585 511,756 255,878 127,939 383,818 191,909 575,728 287,864 143,932 71,966 35,983 107,950 53,975 161,926 80,963 242,890 121,445 364,336 182,168 91,084

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