λ
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2,640,144

24 × 3 × 13 × 4231
Abundant Even Composite

2,640,144 factors as 2^4 × 3 × 13 × 4231. Its 40 positive divisors give a proper-divisor sum of 4,706,608, so this integer is abundant. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 4231
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,346,752
Proper Divisor Sum 4,706,608
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2640139 ← → #2640163

Radix Representation

Decimal 2640144
Binary 1010000100100100010000 (22 bits)
Octal 0o12044420
Hexadecimal 0x284910

Divisor Catalog (40)

1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 4,231 8,462 12,693 16,924 25,386 33,848 50,772 55,003 67,696 101,544 110,006 165,009 203,088 220,012 330,018 440,024 660,036 880,048 1,320,072 2,640,144

Collatz Trajectory (218 steps to reach 1)

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

2,640,144 1,320,072 660,036 330,018 165,009 495,028 247,514 123,757 371,272 185,636 92,818 46,409 139,228 69,614 34,807 104,422 52,211 156,634 78,317 234,952 117,476 58,738 29,369 88,108 44,054 22,027 66,082 33,041 99,124 49,562 24,781 74,344 37,172 18,586 9,293 27,880 13,940 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766

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