λ
Prime Ledger

5,364,324

22 × 32 × 72 × 3041
Abundant Even Composite

5,364,324 has the prime decomposition 2^2 × 3^2 × 7^2 × 3041. Its 4 distinct prime factors produce 54 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7^2 × 3041
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 15,778,854
Proper Divisor Sum 10,414,530
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5364301 ← → #5364329

Radix Representation

Decimal 5364324
Binary 10100011101101001100100 (23 bits)
Octal 0o24355144
Hexadecimal 0x51DA64

Divisor Catalog (54)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1,764 3,041 6,082 9,123 12,164 18,246 21,287 27,369 36,492 42,574 54,738 63,861 85,148 109,476 127,722 149,009 191,583 255,444 298,018 383,166 447,027 596,036 766,332 894,054 1,341,081 1,788,108 2,682,162 5,364,324

Collatz Trajectory (95 steps to reach 1)

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

5,364,324 2,682,162 1,341,081 4,023,244 2,011,622 1,005,811 3,017,434 1,508,717 4,526,152 2,263,076 1,131,538 565,769 1,697,308 848,654 424,327 1,272,982 636,491 1,909,474 954,737 2,864,212 1,432,106 716,053 2,148,160 1,074,080 537,040 268,520 134,260 67,130 33,565 100,696 50,348 25,174 12,587 37,762 18,881 56,644 28,322 14,161 42,484 21,242 10,621 31,864 15,932 7,966 3,983 11,950 5,975 17,926 8,963 26,890 13,445 40,336 20,168 10,084 5,042 2,521 7,564 3,782 1,891 5,674

More profiles

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