λ
Harmonic Matrix

4,796,593

4796593
Deficient Odd Prime

4,796,593 has digital root 7. The neighboring primes are 4796573 and 4796609; its proper-divisor sum differs from the starting integer by -4,796,592.

Prime Factor Structure

Factorization String 4796593
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,796,594
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #4796573 ← → #4796609

Radix Representation

Decimal 4796593
Binary 10010010011000010110001 (23 bits)
Octal 0o22230261
Hexadecimal 0x4930B1

Divisor Catalog (2)

Collatz Trajectory (193 steps to reach 1)

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

4,796,593 14,389,780 7,194,890 3,597,445 10,792,336 5,396,168 2,698,084 1,349,042 674,521 2,023,564 1,011,782 505,891 1,517,674 758,837 2,276,512 1,138,256 569,128 284,564 142,282 71,141 213,424 106,712 53,356 26,678 13,339 40,018 20,009 60,028 30,014 15,007 45,022 22,511 67,534 33,767 101,302 50,651 151,954 75,977 227,932 113,966 56,983 170,950 85,475 256,426 128,213 384,640 192,320 96,160 48,080 24,040 12,020 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074

More profiles

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