λ
Modular Archive

7,600,013

7600013
Deficient Odd Prime

The decimal integer 7,600,013 is 11100111111011110001101 in binary (23 bits), 34773615 in octal and 73F78D in hexadecimal. Its digit sum is 17.

Prime Factor Structure

Factorization String 7600013
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,600,014
Proper Divisor Sum 1
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #7599989 ← → #7600031

Radix Representation

Decimal 7600013
Binary 11100111111011110001101 (23 bits)
Octal 0o34773615
Hexadecimal 0x73F78D

Divisor Catalog (2)

Collatz Trajectory (129 steps to reach 1)

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

7,600,013 22,800,040 11,400,020 5,700,010 2,850,005 8,550,016 4,275,008 2,137,504 1,068,752 534,376 267,188 133,594 66,797 200,392 100,196 50,098 25,049 75,148 37,574 18,787 56,362 28,181 84,544 42,272 21,136 10,568 5,284 2,642 1,321 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050

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