450,508

2² × 41² × 67

450,508 has the prime decomposition 2^2 × 41^2 × 67. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 41^2 × 67

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 820,148

Proper Divisor Sum 369,640

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #450503 ← → #450529

Radix Representation

Decimal	450508
Binary	1101101111111001100 (19 bits)
Octal	0o1557714
Hexadecimal	0x6DFCC

Divisor Catalog (18)

1 2 4 41 67 82 134 164 268 1,681 2,747 3,362 5,494 6,724 10,988 112,627 225,254 450,508

Collatz Trajectory (86 steps to reach 1)

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

450,508 225,254 112,627 337,882 168,941 506,824 253,412 126,706 63,353 190,060 95,030 47,515 142,546 71,273 213,820 106,910 53,455 160,366 80,183 240,550 120,275 360,826 180,413 541,240 270,620 135,310 67,655 202,966 101,483 304,450 152,225 456,676 228,338 114,169 342,508 171,254 85,627 256,882 128,441 385,324 192,662 96,331 288,994 144,497 433,492 216,746 108,373 325,120 162,560 81,280 40,640 20,320 10,160 5,080 2,540 1,270 635 1,906 953 2,860

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