40,482

2 × 3² × 13 × 173

40,482 is even and not a perfect square. Its factorization is 2 × 3^2 × 13 × 173 and its 24 divisors sum to 95,004.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 173

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 95,004

Proper Divisor Sum 54,522

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #40471 ← → #40483

Radix Representation

Decimal	40482
Binary	1001111000100010 (16 bits)
Octal	0o117042
Hexadecimal	0x9E22

Divisor Catalog (24)

1 2 3 6 9 13 18 26 39 78 117 173 234 346 519 1,038 1,557 2,249 3,114 4,498 6,747 13,494 20,241 40,482

Collatz Trajectory (75 steps to reach 1)

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

40,482 20,241 60,724 30,362 15,181 45,544 22,772 11,386 5,693 17,080 8,540 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44

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