λ
Match Zalai

3,294,278

2 × 13 × 126703
Deficient Even Composite

3,294,278 factors as 2 × 13 × 126703. Its 8 positive divisors give a proper-divisor sum of 2,027,290, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2 × 13 × 126703
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,321,568
Proper Divisor Sum 2,027,290
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3294259 ← → #3294281

Radix Representation

Decimal 3294278
Binary 1100100100010001000110 (22 bits)
Octal 0o14442106
Hexadecimal 0x324446

Divisor Catalog (8)

1 2 13 26 126,703 253,406 1,647,139 3,294,278

Collatz Trajectory (177 steps to reach 1)

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

3,294,278 1,647,139 4,941,418 2,470,709 7,412,128 3,706,064 1,853,032 926,516 463,258 231,629 694,888 347,444 173,722 86,861 260,584 130,292 65,146 32,573 97,720 48,860 24,430 12,215 36,646 18,323 54,970 27,485 82,456 41,228 20,614 10,307 30,922 15,461 46,384 23,192 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581

More profiles

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