λ
Math Directory

6,112,311

3 × 2037437
Deficient Odd Composite

6,112,311 factors as 3 × 2037437. Its 4 positive divisors give a proper-divisor sum of 2,037,441, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 3 × 2037437
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,149,752
Proper Divisor Sum 2,037,441
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #6112279 ← → #6112339

Radix Representation

Decimal 6112311
Binary 10111010100010000110111 (23 bits)
Octal 0o27242067
Hexadecimal 0x5D4437

Divisor Catalog (4)

1 3 2,037,437 6,112,311

Collatz Trajectory (214 steps to reach 1)

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

6,112,311 18,336,934 9,168,467 27,505,402 13,752,701 41,258,104 20,629,052 10,314,526 5,157,263 15,471,790 7,735,895 23,207,686 11,603,843 34,811,530 17,405,765 52,217,296 26,108,648 13,054,324 6,527,162 3,263,581 9,790,744 4,895,372 2,447,686 1,223,843 3,671,530 1,835,765 5,507,296 2,753,648 1,376,824 688,412 344,206 172,103 516,310 258,155 774,466 387,233 1,161,700 580,850 290,425 871,276 435,638 217,819 653,458 326,729 980,188 490,094 245,047 735,142 367,571 1,102,714 551,357 1,654,072 827,036 413,518 206,759 620,278 310,139 930,418 465,209 1,395,628

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