λ
Ratio Atlas

2,359,116

22 × 32 × 19 × 3449
Abundant Even Composite

2,359,116 factors as 2^2 × 3^2 × 19 × 3449. Its 36 positive divisors give a proper-divisor sum of 3,919,884, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 19 × 3449
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 6,279,000
Proper Divisor Sum 3,919,884
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2359111 ← → #2359129

Radix Representation

Decimal 2359116
Binary 1000111111111101001100 (22 bits)
Octal 0o10777514
Hexadecimal 0x23FF4C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 3,449 6,898 10,347 13,796 20,694 31,041 41,388 62,082 65,531 124,164 131,062 196,593 262,124 393,186 589,779 786,372 1,179,558 2,359,116

Collatz Trajectory (130 steps to reach 1)

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

2,359,116 1,179,558 589,779 1,769,338 884,669 2,654,008 1,327,004 663,502 331,751 995,254 497,627 1,492,882 746,441 2,239,324 1,119,662 559,831 1,679,494 839,747 2,519,242 1,259,621 3,778,864 1,889,432 944,716 472,358 236,179 708,538 354,269 1,062,808 531,404 265,702 132,851 398,554 199,277 597,832 298,916 149,458 74,729 224,188 112,094 56,047 168,142 84,071 252,214 126,107 378,322 189,161 567,484 283,742 141,871 425,614 212,807 638,422 319,211 957,634 478,817 1,436,452 718,226 359,113 1,077,340 538,670

More profiles

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