λ
Math Directory

5,786,209

11 × 13 × 43 × 941
Deficient Odd Composite

5,786,209 factors as 11 × 13 × 43 × 941. Its 16 positive divisors give a proper-divisor sum of 1,177,055, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 11 × 13 × 43 × 941
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,963,264
Proper Divisor Sum 1,177,055
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5786177 ← → #5786213

Radix Representation

Decimal 5786209
Binary 10110000100101001100001 (23 bits)
Octal 0o26045141
Hexadecimal 0x584A61

Divisor Catalog (16)

1 11 13 43 143 473 559 941 6,149 10,351 12,233 40,463 134,563 445,093 526,019 5,786,209

Collatz Trajectory (121 steps to reach 1)

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

5,786,209 17,358,628 8,679,314 4,339,657 13,018,972 6,509,486 3,254,743 9,764,230 4,882,115 14,646,346 7,323,173 21,969,520 10,984,760 5,492,380 2,746,190 1,373,095 4,119,286 2,059,643 6,178,930 3,089,465 9,268,396 4,634,198 2,317,099 6,951,298 3,475,649 10,426,948 5,213,474 2,606,737 7,820,212 3,910,106 1,955,053 5,865,160 2,932,580 1,466,290 733,145 2,199,436 1,099,718 549,859 1,649,578 824,789 2,474,368 1,237,184 618,592 309,296 154,648 77,324 38,662 19,331 57,994 28,997 86,992 43,496 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118

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