400,812

2² × 3 × 127 × 263

400,812 has the prime decomposition 2^2 × 3 × 127 × 263. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 127 × 263

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 946,176

Proper Divisor Sum 545,364

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #400759 ← → #400823

Radix Representation

Decimal	400812
Binary	1100001110110101100 (19 bits)
Octal	0o1416654
Hexadecimal	0x61DAC

Divisor Catalog (24)

1 2 3 4 6 12 127 254 263 381 508 526 762 789 1,052 1,524 1,578 3,156 33,401 66,802 100,203 133,604 200,406 400,812

Collatz Trajectory (68 steps to reach 1)

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

400,812 200,406 100,203 300,610 150,305 450,916 225,458 112,729 338,188 169,094 84,547 253,642 126,821 380,464 190,232 95,116 47,558 23,779 71,338 35,669 107,008 53,504 26,752 13,376 6,688 3,344 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13

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