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Modular Archive

828,169

828169
Deficient Odd Prime

The decimal integer 828,169 is 11001010001100001001 in binary (20 bits), 3121411 in octal and CA309 in hexadecimal. Its digit sum is 34.

Prime Factor Structure

Factorization String 828169
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 828,170
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #828133 ← → #828199

Radix Representation

Decimal 828169
Binary 11001010001100001001 (20 bits)
Octal 0o3121411
Hexadecimal 0xCA309

Divisor Catalog (2)

Collatz Trajectory (87 steps to reach 1)

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

828,169 2,484,508 1,242,254 621,127 1,863,382 931,691 2,795,074 1,397,537 4,192,612 2,096,306 1,048,153 3,144,460 1,572,230 786,115 2,358,346 1,179,173 3,537,520 1,768,760 884,380 442,190 221,095 663,286 331,643 994,930 497,465 1,492,396 746,198 373,099 1,119,298 559,649 1,678,948 839,474 419,737 1,259,212 629,606 314,803 944,410 472,205 1,416,616 708,308 354,154 177,077 531,232 265,616 132,808 66,404 33,202 16,601 49,804 24,902 12,451 37,354 18,677 56,032 28,016 14,008 7,004 3,502 1,751 5,254

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