λ
Prime Ledger

2,794,131

32 × 310459
Deficient Odd Composite

2,794,131 has the prime decomposition 3^2 × 310459. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 310459
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 4,035,980
Proper Divisor Sum 1,241,849
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2794117 ← → #2794147

Radix Representation

Decimal 2794131
Binary 1010101010001010010011 (22 bits)
Octal 0o12521223
Hexadecimal 0x2AA293

Divisor Catalog (6)

1 3 9 310,459 931,377 2,794,131

Collatz Trajectory (76 steps to reach 1)

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

2,794,131 8,382,394 4,191,197 12,573,592 6,286,796 3,143,398 1,571,699 4,715,098 2,357,549 7,072,648 3,536,324 1,768,162 884,081 2,652,244 1,326,122 663,061 1,989,184 994,592 497,296 248,648 124,324 62,162 31,081 93,244 46,622 23,311 69,934 34,967 104,902 52,451 157,354 78,677 236,032 118,016 59,008 29,504 14,752 7,376 3,688 1,844 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14

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