λ
Prime Ledger

292,388

22 × 67 × 1091
Deficient Even Composite

292,388 has the prime decomposition 2^2 × 67 × 1091. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 67 × 1091
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 519,792
Proper Divisor Sum 227,404
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #292381 ← → #292393

Radix Representation

Decimal 292388
Binary 1000111011000100100 (19 bits)
Octal 0o1073044
Hexadecimal 0x47624

Divisor Catalog (12)

1 2 4 67 134 268 1,091 2,182 4,364 73,097 146,194 292,388

Collatz Trajectory (158 steps to reach 1)

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

292,388 146,194 73,097 219,292 109,646 54,823 164,470 82,235 246,706 123,353 370,060 185,030 92,515 277,546 138,773 416,320 208,160 104,080 52,040 26,020 13,010 6,505 19,516 9,758 4,879 14,638 7,319 21,958 10,979 32,938 16,469 49,408 24,704 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322

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