λ
Harmonic Matrix

5,748,948

22 × 33 × 53231
Abundant Even Composite

5,748,948 has digital root 9. The neighboring primes are 5748947 and 5748959; its proper-divisor sum differs from the starting integer by 3,407,064.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 53231
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,904,960
Proper Divisor Sum 9,156,012
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5748947 ← → #5748959

Radix Representation

Decimal 5748948
Binary 10101111011100011010100 (23 bits)
Octal 0o25734324
Hexadecimal 0x57B8D4

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 53,231 106,462 159,693 212,924 319,386 479,079 638,772 958,158 1,437,237 1,916,316 2,874,474 5,748,948

Collatz Trajectory (139 steps to reach 1)

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

5,748,948 2,874,474 1,437,237 4,311,712 2,155,856 1,077,928 538,964 269,482 134,741 404,224 202,112 101,056 50,528 25,264 12,632 6,316 3,158 1,579 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 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175

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