817,025

5² × 11 × 2971

817,025 has digital root 5. The neighboring primes are 817013 and 817027; its proper-divisor sum differs from the starting integer by -528,466.

Prime Factor Structure

Factorization String 5^2 × 11 × 2971

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,105,584

Proper Divisor Sum 288,559

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #817013 ← → #817027

Radix Representation

Decimal	817025
Binary	11000111011110000001 (20 bits)
Octal	0o3073601
Hexadecimal	0xC7781

Divisor Catalog (12)

1 5 11 25 55 275 2,971 14,855 32,681 74,275 163,405 817,025

Collatz Trajectory (87 steps to reach 1)

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

817,025 2,451,076 1,225,538 612,769 1,838,308 919,154 459,577 1,378,732 689,366 344,683 1,034,050 517,025 1,551,076 775,538 387,769 1,163,308 581,654 290,827 872,482 436,241 1,308,724 654,362 327,181 981,544 490,772 245,386 122,693 368,080 184,040 92,020 46,010 23,005 69,016 34,508 17,254 8,627 25,882 12,941 38,824 19,412 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866

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