λ
Prime Ledger

291,843

35 × 1201
Deficient Odd Composite

291,843 has the prime decomposition 3^5 × 1201. Its 2 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 1201
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 437,528
Proper Divisor Sum 145,685
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #291833 ← → #291853

Radix Representation

Decimal 291843
Binary 1000111010000000011 (19 bits)
Octal 0o1072003
Hexadecimal 0x47403

Divisor Catalog (12)

1 3 9 27 81 243 1,201 3,603 10,809 32,427 97,281 291,843

Collatz Trajectory (189 steps to reach 1)

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

291,843 875,530 437,765 1,313,296 656,648 328,324 164,162 82,081 246,244 123,122 61,561 184,684 92,342 46,171 138,514 69,257 207,772 103,886 51,943 155,830 77,915 233,746 116,873 350,620 175,310 87,655 262,966 131,483 394,450 197,225 591,676 295,838 147,919 443,758 221,879 665,638 332,819 998,458 499,229 1,497,688 748,844 374,422 187,211 561,634 280,817 842,452 421,226 210,613 631,840 315,920 157,960 78,980 39,490 19,745 59,236 29,618 14,809 44,428 22,214 11,107

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