λ
Harmonic Matrix

2,481,324

22 × 3 × 19 × 10883
Abundant Even Composite

2,481,324 has digital root 6. The neighboring primes are 2481319 and 2481341; its proper-divisor sum differs from the starting integer by 1,132,392.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 10883
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,095,040
Proper Divisor Sum 3,613,716
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2481319 ← → #2481341

Radix Representation

Decimal 2481324
Binary 1001011101110010101100 (22 bits)
Octal 0o11356254
Hexadecimal 0x25DCAC

Divisor Catalog (24)

1 2 3 4 6 12 19 38 57 76 114 228 10,883 21,766 32,649 43,532 65,298 130,596 206,777 413,554 620,331 827,108 1,240,662 2,481,324

Collatz Trajectory (143 steps to reach 1)

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

2,481,324 1,240,662 620,331 1,860,994 930,497 2,791,492 1,395,746 697,873 2,093,620 1,046,810 523,405 1,570,216 785,108 392,554 196,277 588,832 294,416 147,208 73,604 36,802 18,401 55,204 27,602 13,801 41,404 20,702 10,351 31,054 15,527 46,582 23,291 69,874 34,937 104,812 52,406 26,203 78,610 39,305 117,916 58,958 29,479 88,438 44,219 132,658 66,329 198,988 99,494 49,747 149,242 74,621 223,864 111,932 55,966 27,983 83,950 41,975 125,926 62,963 188,890 94,445

More profiles

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