λ
Ratio Atlas

2,960,316

22 × 32 × 82231
Abundant Even Composite

2,960,316 factors as 2^2 × 3^2 × 82231. Its 18 positive divisors give a proper-divisor sum of 4,522,796, so this integer is abundant. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 82231
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 7,483,112
Proper Divisor Sum 4,522,796
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2960303 ← → #2960317

Radix Representation

Decimal 2960316
Binary 1011010010101110111100 (22 bits)
Octal 0o13225674
Hexadecimal 0x2D2BBC

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 82,231 164,462 246,693 328,924 493,386 740,079 986,772 1,480,158 2,960,316

Collatz Trajectory (169 steps to reach 1)

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

2,960,316 1,480,158 740,079 2,220,238 1,110,119 3,330,358 1,665,179 4,995,538 2,497,769 7,493,308 3,746,654 1,873,327 5,619,982 2,809,991 8,429,974 4,214,987 12,644,962 6,322,481 18,967,444 9,483,722 4,741,861 14,225,584 7,112,792 3,556,396 1,778,198 889,099 2,667,298 1,333,649 4,000,948 2,000,474 1,000,237 3,000,712 1,500,356 750,178 375,089 1,125,268 562,634 281,317 843,952 421,976 210,988 105,494 52,747 158,242 79,121 237,364 118,682 59,341 178,024 89,012 44,506 22,253 66,760 33,380 16,690 8,345 25,036 12,518 6,259 18,778

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