λ
Prime Ledger

2,682,813

3 × 7 × 43 × 2971
Deficient Odd Composite

2,682,813 has the prime decomposition 3 × 7 × 43 × 2971. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 43 × 2971
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,184,576
Proper Divisor Sum 1,501,763
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2682803 ← → #2682829

Radix Representation

Decimal 2682813
Binary 1010001110111110111101 (22 bits)
Octal 0o12167675
Hexadecimal 0x28EFBD

Divisor Catalog (16)

1 3 7 21 43 129 301 903 2,971 8,913 20,797 62,391 127,753 383,259 894,271 2,682,813

Collatz Trajectory (94 steps to reach 1)

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

2,682,813 8,048,440 4,024,220 2,012,110 1,006,055 3,018,166 1,509,083 4,527,250 2,263,625 6,790,876 3,395,438 1,697,719 5,093,158 2,546,579 7,639,738 3,819,869 11,459,608 5,729,804 2,864,902 1,432,451 4,297,354 2,148,677 6,446,032 3,223,016 1,611,508 805,754 402,877 1,208,632 604,316 302,158 151,079 453,238 226,619 679,858 339,929 1,019,788 509,894 254,947 764,842 382,421 1,147,264 573,632 286,816 143,408 71,704 35,852 17,926 8,963 26,890 13,445 40,336 20,168 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837

More profiles

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