321,940

2² × 5 × 16097

321,940 factors as 2^2 × 5 × 16097. Its 12 positive divisors give a proper-divisor sum of 354,176, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 16097

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 676,116

Proper Divisor Sum 354,176

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #321911 ← → #321947

Radix Representation

Decimal	321940
Binary	1001110100110010100 (19 bits)
Octal	0o1164624
Hexadecimal	0x4E994

Divisor Catalog (12)

1 2 4 5 10 20 16,097 32,194 64,388 80,485 160,970 321,940

Collatz Trajectory (78 steps to reach 1)

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

321,940 160,970 80,485 241,456 120,728 60,364 30,182 15,091 45,274 22,637 67,912 33,956 16,978 8,489 25,468 12,734 6,367 19,102 9,551 28,654 14,327 42,982 21,491 64,474 32,237 96,712 48,356 24,178 12,089 36,268 18,134 9,067 27,202 13,601 40,804 20,402 10,201 30,604 15,302 7,651 22,954 11,477 34,432 17,216 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152 76 38 19 58

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