λ
Modular Archive

2,131,341

3 × 17 × 232 × 79
Deficient Odd Composite

The decimal integer 2,131,341 is 1000001000010110001101 in binary (22 bits), 10102615 in octal and 20858D in hexadecimal. Its digit sum is 15.

Prime Factor Structure

Factorization String 3 × 17 × 23^2 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,185,280
Proper Divisor Sum 1,053,939
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2131321 ← → #2131361

Radix Representation

Decimal 2131341
Binary 1000001000010110001101 (22 bits)
Octal 0o10102615
Hexadecimal 0x20858D

Divisor Catalog (24)

1 3 17 23 51 69 79 237 391 529 1,173 1,343 1,587 1,817 4,029 5,451 8,993 26,979 30,889 41,791 92,667 125,373 710,447 2,131,341

Collatz Trajectory (96 steps to reach 1)

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

2,131,341 6,394,024 3,197,012 1,598,506 799,253 2,397,760 1,198,880 599,440 299,720 149,860 74,930 37,465 112,396 56,198 28,099 84,298 42,149 126,448 63,224 31,612 15,806 7,903 23,710 11,855 35,566 17,783 53,350 26,675 80,026 40,013 120,040 60,020 30,010 15,005 45,016 22,508 11,254 5,627 16,882 8,441 25,324 12,662 6,331 18,994 9,497 28,492 14,246 7,123 21,370 10,685 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526

More profiles

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