852,771

3 × 17 × 23 × 727

852,771 has digital root 3. The neighboring primes are 852769 and 852793; its proper-divisor sum differs from the starting integer by -447,558.

Prime Factor Structure

Factorization String 3 × 17 × 23 × 727

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,257,984

Proper Divisor Sum 405,213

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #852769 ← → #852793

Radix Representation

Decimal	852771
Binary	11010000001100100011 (20 bits)
Octal	0o3201443
Hexadecimal	0xD0323

Divisor Catalog (16)

1 3 17 23 51 69 391 727 1,173 2,181 12,359 16,721 37,077 50,163 284,257 852,771

Collatz Trajectory (100 steps to reach 1)

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

852,771 2,558,314 1,279,157 3,837,472 1,918,736 959,368 479,684 239,842 119,921 359,764 179,882 89,941 269,824 134,912 67,456 33,728 16,864 8,432 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911

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