1,003,766

2 × 23 × 21821

1,003,766 has digital root 5. The neighboring primes are 1003763 and 1003771; its proper-divisor sum differs from the starting integer by -436,348.

Prime Factor Structure

Factorization String 2 × 23 × 21821

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,571,184

Proper Divisor Sum 567,418

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #1003763 ← → #1003771

Radix Representation

Decimal	1003766
Binary	11110101000011110110 (20 bits)
Octal	0o3650366
Hexadecimal	0xF50F6

Divisor Catalog (8)

1 2 23 46 21,821 43,642 501,883 1,003,766

Collatz Trajectory (64 steps to reach 1)

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

1,003,766 501,883 1,505,650 752,825 2,258,476 1,129,238 564,619 1,693,858 846,929 2,540,788 1,270,394 635,197 1,905,592 952,796 476,398 238,199 714,598 357,299 1,071,898 535,949 1,607,848 803,924 401,962 200,981 602,944 301,472 150,736 75,368 37,684 18,842 9,421 28,264 14,132 7,066 3,533 10,600 5,300 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5

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