λ
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2,392,080

24 × 3 × 5 × 9967
Abundant Even Composite

2,392,080 factors as 2^4 × 3 × 5 × 9967. Its 40 positive divisors give a proper-divisor sum of 5,024,112, so this integer is abundant. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 9967
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,416,192
Proper Divisor Sum 5,024,112
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2392073 ← → #2392099

Radix Representation

Decimal 2392080
Binary 1001001000000000010000 (22 bits)
Octal 0o11100020
Hexadecimal 0x248010

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 9,967 19,934 29,901 39,868 49,835 59,802 79,736 99,670 119,604 149,505 159,472 199,340 239,208 299,010 398,680 478,416 598,020 797,360 1,196,040 2,392,080

Collatz Trajectory (161 steps to reach 1)

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

2,392,080 1,196,040 598,020 299,010 149,505 448,516 224,258 112,129 336,388 168,194 84,097 252,292 126,146 63,073 189,220 94,610 47,305 141,916 70,958 35,479 106,438 53,219 159,658 79,829 239,488 119,744 59,872 29,936 14,968 7,484 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71

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