λ
Sigma Notebook

3,610,003

3610003
Deficient Odd Prime

3,610,003 is odd and not a perfect square. Its factorization is 3610003 and its 2 divisors sum to 3,610,004.

Prime Factor Structure

Factorization String 3610003
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,610,004
Proper Divisor Sum 1
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #3609997 ← → #3610021

Radix Representation

Decimal 3610003
Binary 1101110001010110010011 (22 bits)
Octal 0o15612623
Hexadecimal 0x371593

Divisor Catalog (2)

Collatz Trajectory (89 steps to reach 1)

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

3,610,003 10,830,010 5,415,005 16,245,016 8,122,508 4,061,254 2,030,627 6,091,882 3,045,941 9,137,824 4,568,912 2,284,456 1,142,228 571,114 285,557 856,672 428,336 214,168 107,084 53,542 26,771 80,314 40,157 120,472 60,236 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820

More profiles

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