λ
Prime Ledger

352,729

13 × 43 × 631
Deficient Odd Composite

352,729 has the prime decomposition 13 × 43 × 631. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 43 × 631
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 389,312
Proper Divisor Sum 36,583
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #352711 ← → #352739

Radix Representation

Decimal 352729
Binary 1010110000111011001 (19 bits)
Octal 0o1260731
Hexadecimal 0x561D9

Divisor Catalog (8)

1 13 43 559 631 8,203 27,133 352,729

Collatz Trajectory (104 steps to reach 1)

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

352,729 1,058,188 529,094 264,547 793,642 396,821 1,190,464 595,232 297,616 148,808 74,404 37,202 18,601 55,804 27,902 13,951 41,854 20,927 62,782 31,391 94,174 47,087 141,262 70,631 211,894 105,947 317,842 158,921 476,764 238,382 119,191 357,574 178,787 536,362 268,181 804,544 402,272 201,136 100,568 50,284 25,142 12,571 37,714 18,857 56,572 28,286 14,143 42,430 21,215 63,646 31,823 95,470 47,735 143,206 71,603 214,810 107,405 322,216 161,108 80,554

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