λ
Math Directory

6,179,415

3 × 5 × 11 × 17 × 2203
Deficient Odd Composite

6,179,415 factors as 3 × 5 × 11 × 17 × 2203. Its 32 positive divisors give a proper-divisor sum of 5,246,121, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 17 × 2203
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,425,536
Proper Divisor Sum 5,246,121
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6179413 ← → #6179417

Radix Representation

Decimal 6179415
Binary 10111100100101001010111 (23 bits)
Octal 0o27445127
Hexadecimal 0x5E4A57

Divisor Catalog (32)

1 3 5 11 15 17 33 51 55 85 165 187 255 561 935 2,203 2,805 6,609 11,015 24,233 33,045 37,451 72,699 112,353 121,165 187,255 363,495 411,961 561,765 1,235,883 2,059,805 6,179,415

Collatz Trajectory (209 steps to reach 1)

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

6,179,415 18,538,246 9,269,123 27,807,370 13,903,685 41,711,056 20,855,528 10,427,764 5,213,882 2,606,941 7,820,824 3,910,412 1,955,206 977,603 2,932,810 1,466,405 4,399,216 2,199,608 1,099,804 549,902 274,951 824,854 412,427 1,237,282 618,641 1,855,924 927,962 463,981 1,391,944 695,972 347,986 173,993 521,980 260,990 130,495 391,486 195,743 587,230 293,615 880,846 440,423 1,321,270 660,635 1,981,906 990,953 2,972,860 1,486,430 743,215 2,229,646 1,114,823 3,344,470 1,672,235 5,016,706 2,508,353 7,525,060 3,762,530 1,881,265 5,643,796 2,821,898 1,410,949

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