λ
Harmonic Matrix

5,128,849

11 × 17 × 27427
Deficient Odd Composite

5,128,849 has digital root 1. The neighboring primes are 5128847 and 5128859; its proper-divisor sum differs from the starting integer by -4,333,250.

Prime Factor Structure

Factorization String 11 × 17 × 27427
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,924,448
Proper Divisor Sum 795,599
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5128847 ← → #5128859

Radix Representation

Decimal 5128849
Binary 10011100100001010010001 (23 bits)
Octal 0o23441221
Hexadecimal 0x4E4291

Divisor Catalog (8)

1 11 17 187 27,427 301,697 466,259 5,128,849

Collatz Trajectory (100 steps to reach 1)

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

5,128,849 15,386,548 7,693,274 3,846,637 11,539,912 5,769,956 2,884,978 1,442,489 4,327,468 2,163,734 1,081,867 3,245,602 1,622,801 4,868,404 2,434,202 1,217,101 3,651,304 1,825,652 912,826 456,413 1,369,240 684,620 342,310 171,155 513,466 256,733 770,200 385,100 192,550 96,275 288,826 144,413 433,240 216,620 108,310 54,155 162,466 81,233 243,700 121,850 60,925 182,776 91,388 45,694 22,847 68,542 34,271 102,814 51,407 154,222 77,111 231,334 115,667 347,002 173,501 520,504 260,252 130,126 65,063 195,190

More profiles

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