400,311

3² × 19 × 2341

400,311 has the prime decomposition 3^2 × 19 × 2341. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 19 × 2341

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 608,920

Proper Divisor Sum 208,609

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #400307 ← → #400313

Radix Representation

Decimal	400311
Binary	1100001101110110111 (19 bits)
Octal	0o1415667
Hexadecimal	0x61BB7

Divisor Catalog (12)

1 3 9 19 57 171 2,341 7,023 21,069 44,479 133,437 400,311

Collatz Trajectory (161 steps to reach 1)

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

400,311 1,200,934 600,467 1,801,402 900,701 2,702,104 1,351,052 675,526 337,763 1,013,290 506,645 1,519,936 759,968 379,984 189,992 94,996 47,498 23,749 71,248 35,624 17,812 8,906 4,453 13,360 6,680 3,340 1,670 835 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430

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