λ
Prime Ledger

999,261

32 × 111029
Deficient Odd Composite

999,261 has the prime decomposition 3^2 × 111029. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 111029
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,443,390
Proper Divisor Sum 444,129
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #999239 ← → #999269

Radix Representation

Decimal 999261
Binary 11110011111101011101 (20 bits)
Octal 0o3637535
Hexadecimal 0xF3F5D

Divisor Catalog (6)

1 3 9 111,029 333,087 999,261

Collatz Trajectory (183 steps to reach 1)

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

999,261 2,997,784 1,498,892 749,446 374,723 1,124,170 562,085 1,686,256 843,128 421,564 210,782 105,391 316,174 158,087 474,262 237,131 711,394 355,697 1,067,092 533,546 266,773 800,320 400,160 200,080 100,040 50,020 25,010 12,505 37,516 18,758 9,379 28,138 14,069 42,208 21,104 10,552 5,276 2,638 1,319 3,958 1,979 5,938 2,969 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060

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