λ
Sigma Notebook

293,829

3 × 97943
Deficient Odd Composite

293,829 is odd and not a perfect square. Its factorization is 3 × 97943 and its 4 divisors sum to 391,776.

Prime Factor Structure

Factorization String 3 × 97943
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 391,776
Proper Divisor Sum 97,947
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #293827 ← → #293831

Radix Representation

Decimal 293829
Binary 1000111101111000101 (19 bits)
Octal 0o1075705
Hexadecimal 0x47BC5

Divisor Catalog (4)

1 3 97,943 293,829

Collatz Trajectory (65 steps to reach 1)

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

293,829 881,488 440,744 220,372 110,186 55,093 165,280 82,640 41,320 20,660 10,330 5,165 15,496 7,748 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10

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