321,376

2⁵ × 11² × 83

321,376 has digital root 4. The neighboring primes are 321371 and 321383; its proper-divisor sum differs from the starting integer by 61,084.

Prime Factor Structure

Factorization String 2^5 × 11^2 × 83

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 703,836

Proper Divisor Sum 382,460

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #321371 ← → #321383

Radix Representation

Decimal	321376
Binary	1001110011101100000 (19 bits)
Octal	0o1163540
Hexadecimal	0x4E760

Divisor Catalog (36)

1 2 4 8 11 16 22 32 44 83 88 121 166 176 242 332 352 484 664 913 968 1,328 1,826 1,936 2,656 3,652 3,872 7,304 10,043 14,608 20,086 29,216 40,172 80,344 160,688 321,376

Collatz Trajectory (47 steps to reach 1)

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

321,376 160,688 80,344 40,172 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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