1,003,029

3 × 19 × 17597

1,003,029 has digital root 6. The neighboring primes are 1003019 and 1003039; its proper-divisor sum differs from the starting integer by -598,218.

Prime Factor Structure

Factorization String 3 × 19 × 17597

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,407,840

Proper Divisor Sum 404,811

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #1003019 ← → #1003039

Radix Representation

Decimal	1003029
Binary	11110100111000010101 (20 bits)
Octal	0o3647025
Hexadecimal	0xF4E15

Divisor Catalog (8)

1 3 19 57 17,597 52,791 334,343 1,003,029

Collatz Trajectory (165 steps to reach 1)

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

1,003,029 3,009,088 1,504,544 752,272 376,136 188,068 94,034 47,017 141,052 70,526 35,263 105,790 52,895 158,686 79,343 238,030 119,015 357,046 178,523 535,570 267,785 803,356 401,678 200,839 602,518 301,259 903,778 451,889 1,355,668 677,834 338,917 1,016,752 508,376 254,188 127,094 63,547 190,642 95,321 285,964 142,982 71,491 214,474 107,237 321,712 160,856 80,428 40,214 20,107 60,322 30,161 90,484 45,242 22,621 67,864 33,932 16,966 8,483 25,450 12,725 38,176

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