λ
Prime Ledger

3,106,325

52 × 17 × 7309
Deficient Odd Composite

3,106,325 has the prime decomposition 5^2 × 17 × 7309. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 17 × 7309
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,078,980
Proper Divisor Sum 972,655
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3106319 ← → #3106339

Radix Representation

Decimal 3106325
Binary 1011110110011000010101 (22 bits)
Octal 0o13663025
Hexadecimal 0x2F6615

Divisor Catalog (12)

1 5 17 25 85 425 7,309 36,545 124,253 182,725 621,265 3,106,325

Collatz Trajectory (133 steps to reach 1)

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

3,106,325 9,318,976 4,659,488 2,329,744 1,164,872 582,436 291,218 145,609 436,828 218,414 109,207 327,622 163,811 491,434 245,717 737,152 368,576 184,288 92,144 46,072 23,036 11,518 5,759 17,278 8,639 25,918 12,959 38,878 19,439 58,318 29,159 87,478 43,739 131,218 65,609 196,828 98,414 49,207 147,622 73,811 221,434 110,717 332,152 166,076 83,038 41,519 124,558 62,279 186,838 93,419 280,258 140,129 420,388 210,194 105,097 315,292 157,646 78,823 236,470 118,235

More profiles

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