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Atlas › Integer Profiles › Node 2,390,328

2,390,328

23 × 32 × 33199
Abundant Even Composite

2,390,328 factors as 2^3 × 3^2 × 33199. Its 24 positive divisors give a proper-divisor sum of 4,083,672, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 33199
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,474,000
Proper Divisor Sum 4,083,672
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2390309 ← → #2390329

Radix Representation

Decimal 2390328
Binary 1001000111100100111000 (22 bits)
Octal 0o11074470
Hexadecimal 0x247938

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 33,199 66,398 99,597 132,796 199,194 265,592 298,791 398,388 597,582 796,776 1,195,164 2,390,328

Collatz Trajectory (143 steps to reach 1)

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

2,390,328 1,195,164 597,582 298,791 896,374 448,187 1,344,562 672,281 2,016,844 1,008,422 504,211 1,512,634 756,317 2,268,952 1,134,476 567,238 283,619 850,858 425,429 1,276,288 638,144 319,072 159,536 79,768 39,884 19,942 9,971 29,914 14,957 44,872 22,436 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167

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