828,322

2 × 11 × 23 × 1637

828,322 has digital root 7. The neighboring primes are 828277 and 828349; its proper-divisor sum differs from the starting integer by -241,412.

Prime Factor Structure

Factorization String 2 × 11 × 23 × 1637

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,415,232

Proper Divisor Sum 586,910

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #828277 ← → #828349

Radix Representation

Decimal	828322
Binary	11001010001110100010 (20 bits)
Octal	0o3121642
Hexadecimal	0xCA3A2

Divisor Catalog (16)

1 2 11 22 23 46 253 506 1,637 3,274 18,007 36,014 37,651 75,302 414,161 828,322

Collatz Trajectory (175 steps to reach 1)

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

828,322 414,161 1,242,484 621,242 310,621 931,864 465,932 232,966 116,483 349,450 174,725 524,176 262,088 131,044 65,522 32,761 98,284 49,142 24,571 73,714 36,857 110,572 55,286 27,643 82,930 41,465 124,396 62,198 31,099 93,298 46,649 139,948 69,974 34,987 104,962 52,481 157,444 78,722 39,361 118,084 59,042 29,521 88,564 44,282 22,141 66,424 33,212 16,606 8,303 24,910 12,455 37,366 18,683 56,050 28,025 84,076 42,038 21,019 63,058 31,529

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