λ
Prime Ledger

399,243

3 × 13 × 29 × 353
Deficient Odd Composite

399,243 has the prime decomposition 3 × 13 × 29 × 353. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 29 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 594,720
Proper Divisor Sum 195,477
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #399241 ← → #399263

Radix Representation

Decimal 399243
Binary 1100001011110001011 (19 bits)
Octal 0o1413613
Hexadecimal 0x6178B

Divisor Catalog (16)

1 3 13 29 39 87 353 377 1,059 1,131 4,589 10,237 13,767 30,711 133,081 399,243

Collatz Trajectory (223 steps to reach 1)

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

399,243 1,197,730 598,865 1,796,596 898,298 449,149 1,347,448 673,724 336,862 168,431 505,294 252,647 757,942 378,971 1,136,914 568,457 1,705,372 852,686 426,343 1,279,030 639,515 1,918,546 959,273 2,877,820 1,438,910 719,455 2,158,366 1,079,183 3,237,550 1,618,775 4,856,326 2,428,163 7,284,490 3,642,245 10,926,736 5,463,368 2,731,684 1,365,842 682,921 2,048,764 1,024,382 512,191 1,536,574 768,287 2,304,862 1,152,431 3,457,294 1,728,647 5,185,942 2,592,971 7,778,914 3,889,457 11,668,372 5,834,186 2,917,093 8,751,280 4,375,640 2,187,820 1,093,910 546,955

More profiles

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