1,010,017

271 × 3727

1,010,017 has digital root 1. The neighboring primes are 1010003 and 1010033; its proper-divisor sum differs from the starting integer by -1,006,018.

Prime Factor Structure

Factorization String 271 × 3727

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 1,014,016

Proper Divisor Sum 3,999

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #1010003 ← → #1010033

Radix Representation

Decimal	1010017
Binary	11110110100101100001 (20 bits)
Octal	0o3664541
Hexadecimal	0xF6961

Divisor Catalog (4)

1 271 3,727 1,010,017

Collatz Trajectory (134 steps to reach 1)

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

1,010,017 3,030,052 1,515,026 757,513 2,272,540 1,136,270 568,135 1,704,406 852,203 2,556,610 1,278,305 3,834,916 1,917,458 958,729 2,876,188 1,438,094 719,047 2,157,142 1,078,571 3,235,714 1,617,857 4,853,572 2,426,786 1,213,393 3,640,180 1,820,090 910,045 2,730,136 1,365,068 682,534 341,267 1,023,802 511,901 1,535,704 767,852 383,926 191,963 575,890 287,945 863,836 431,918 215,959 647,878 323,939 971,818 485,909 1,457,728 728,864 364,432 182,216 91,108 45,554 22,777 68,332 34,166 17,083 51,250 25,625 76,876 38,438

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