10,003,500

2² × 3⁴ × 5³ × 13 × 19

10,003,500 factors as 2^2 × 3^4 × 5^3 × 13 × 19. Its 240 positive divisors give a proper-divisor sum of 26,993,460, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 5^3 × 13 × 19

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 240

Divisor Sum (σ) 36,996,960

Proper Divisor Sum 26,993,460

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #10003489 ← → #10003501

Radix Representation

Decimal	10003500
Binary	100110001010010000101100 (24 bits)
Octal	0o46122054
Hexadecimal	0x98A42C

Divisor Catalog (60 of 240)

1 2 3 4 5 6 9 10 12 13 15 18 19 20 25 26 27 30 36 38 39 45 50 52 54 57 60 65 75 76 78 81 90 95 100 108 114 117 125 130 135 150 156 162 171 180 190 195 225 228 234 247 250 260 270 285 300 324 325 342

Collatz Trajectory (176 steps to reach 1)

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

10,003,500 5,001,750 2,500,875 7,502,626 3,751,313 11,253,940 5,626,970 2,813,485 8,440,456 4,220,228 2,110,114 1,055,057 3,165,172 1,582,586 791,293 2,373,880 1,186,940 593,470 296,735 890,206 445,103 1,335,310 667,655 2,002,966 1,001,483 3,004,450 1,502,225 4,506,676 2,253,338 1,126,669 3,380,008 1,690,004 845,002 422,501 1,267,504 633,752 316,876 158,438 79,219 237,658 118,829 356,488 178,244 89,122 44,561 133,684 66,842 33,421 100,264 50,132 25,066 12,533 37,600 18,800 9,400 4,700 2,350 1,175 3,526 1,763

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