λ
Harmonic Matrix

5,094,832

24 × 17 × 18731
Abundant Even Composite

5,094,832 has digital root 4. The neighboring primes are 5094829 and 5094833; its proper-divisor sum differs from the starting integer by 262,792.

Prime Factor Structure

Factorization String 2^4 × 17 × 18731
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 10,452,456
Proper Divisor Sum 5,357,624
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5094829 ← → #5094833

Radix Representation

Decimal 5094832
Binary 10011011011110110110000 (23 bits)
Octal 0o23336660
Hexadecimal 0x4DBDB0

Divisor Catalog (20)

1 2 4 8 16 17 34 68 136 272 18,731 37,462 74,924 149,848 299,696 318,427 636,854 1,273,708 2,547,416 5,094,832

Collatz Trajectory (263 steps to reach 1)

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

5,094,832 2,547,416 1,273,708 636,854 318,427 955,282 477,641 1,432,924 716,462 358,231 1,074,694 537,347 1,612,042 806,021 2,418,064 1,209,032 604,516 302,258 151,129 453,388 226,694 113,347 340,042 170,021 510,064 255,032 127,516 63,758 31,879 95,638 47,819 143,458 71,729 215,188 107,594 53,797 161,392 80,696 40,348 20,174 10,087 30,262 15,131 45,394 22,697 68,092 34,046 17,023 51,070 25,535 76,606 38,303 114,910 57,455 172,366 86,183 258,550 129,275 387,826 193,913

More profiles

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