13,002,003

3² × 7² × 29483

13,002,003 factors as 3^2 × 7^2 × 29483. Its 18 positive divisors give a proper-divisor sum of 8,845,641, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 29483

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 21,847,644

Proper Divisor Sum 8,845,641

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #13001993 ← → #13002019

Radix Representation

Decimal	13002003
Binary	110001100110010100010011 (24 bits)
Octal	0o61462423
Hexadecimal	0xC66513

Divisor Catalog (18)

1 3 7 9 21 49 63 147 441 29,483 88,449 206,381 265,347 619,143 1,444,667 1,857,429 4,334,001 13,002,003

Collatz Trajectory (91 steps to reach 1)

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

13,002,003 39,006,010 19,503,005 58,509,016 29,254,508 14,627,254 7,313,627 21,940,882 10,970,441 32,911,324 16,455,662 8,227,831 24,683,494 12,341,747 37,025,242 18,512,621 55,537,864 27,768,932 13,884,466 6,942,233 20,826,700 10,413,350 5,206,675 15,620,026 7,810,013 23,430,040 11,715,020 5,857,510 2,928,755 8,786,266 4,393,133 13,179,400 6,589,700 3,294,850 1,647,425 4,942,276 2,471,138 1,235,569 3,706,708 1,853,354 926,677 2,780,032 1,390,016 695,008 347,504 173,752 86,876 43,438 21,719 65,158 32,579 97,738 48,869 146,608 73,304 36,652 18,326 9,163 27,490 13,745

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