1,000,503

3² × 7 × 15881

1,000,503 is odd and not a perfect square. Its factorization is 3^2 × 7 × 15881 and its 12 divisors sum to 1,651,728.

Prime Factor Structure

Factorization String 3^2 × 7 × 15881

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,651,728

Proper Divisor Sum 651,225

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #1000457 ← → #1000507

Radix Representation

Decimal	1000503
Binary	11110100010000110111 (20 bits)
Octal	0o3642067
Hexadecimal	0xF4437

Divisor Catalog (12)

1 3 7 9 21 63 15,881 47,643 111,167 142,929 333,501 1,000,503

Collatz Trajectory (90 steps to reach 1)

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

1,000,503 3,001,510 1,500,755 4,502,266 2,251,133 6,753,400 3,376,700 1,688,350 844,175 2,532,526 1,266,263 3,798,790 1,899,395 5,698,186 2,849,093 8,547,280 4,273,640 2,136,820 1,068,410 534,205 1,602,616 801,308 400,654 200,327 600,982 300,491 901,474 450,737 1,352,212 676,106 338,053 1,014,160 507,080 253,540 126,770 63,385 190,156 95,078 47,539 142,618 71,309 213,928 106,964 53,482 26,741 80,224 40,112 20,056 10,028 5,014 2,507 7,522 3,761 11,284 5,642 2,821 8,464 4,232 2,116 1,058

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