λ
Harmonic Matrix

4,738,793

4738793
Deficient Odd Prime

4,738,793 has digital root 5. The neighboring primes are 4738781 and 4738807; its proper-divisor sum differs from the starting integer by -4,738,792.

Prime Factor Structure

Factorization String 4738793
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,738,794
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #4738781 ← → #4738807

Radix Representation

Decimal 4738793
Binary 10010000100111011101001 (23 bits)
Octal 0o22047351
Hexadecimal 0x484EE9

Divisor Catalog (2)

1 4,738,793

Collatz Trajectory (193 steps to reach 1)

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

4,738,793 14,216,380 7,108,190 3,554,095 10,662,286 5,331,143 15,993,430 7,996,715 23,990,146 11,995,073 35,985,220 17,992,610 8,996,305 26,988,916 13,494,458 6,747,229 20,241,688 10,120,844 5,060,422 2,530,211 7,590,634 3,795,317 11,385,952 5,692,976 2,846,488 1,423,244 711,622 355,811 1,067,434 533,717 1,601,152 800,576 400,288 200,144 100,072 50,036 25,018 12,509 37,528 18,764 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012

More profiles

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