λ
Prime Ledger

2,647,674

2 × 33 × 49031
Abundant Even Composite

2,647,674 has the prime decomposition 2 × 3^3 × 49031. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 49031
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,883,840
Proper Divisor Sum 3,236,166
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2647649 ← → #2647681

Radix Representation

Decimal 2647674
Binary 1010000110011001111010 (22 bits)
Octal 0o12063172
Hexadecimal 0x28667A

Divisor Catalog (16)

1 2 3 6 9 18 27 54 49,031 98,062 147,093 294,186 441,279 882,558 1,323,837 2,647,674

Collatz Trajectory (200 steps to reach 1)

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

2,647,674 1,323,837 3,971,512 1,985,756 992,878 496,439 1,489,318 744,659 2,233,978 1,116,989 3,350,968 1,675,484 837,742 418,871 1,256,614 628,307 1,884,922 942,461 2,827,384 1,413,692 706,846 353,423 1,060,270 530,135 1,590,406 795,203 2,385,610 1,192,805 3,578,416 1,789,208 894,604 447,302 223,651 670,954 335,477 1,006,432 503,216 251,608 125,804 62,902 31,451 94,354 47,177 141,532 70,766 35,383 106,150 53,075 159,226 79,613 238,840 119,420 59,710 29,855 89,566 44,783 134,350 67,175 201,526 100,763

More profiles

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