λ
Zalai Atlas

3,537,326

2 × 13 × 17 × 53 × 151
Deficient Even Composite

3,537,326 has the prime decomposition 2 × 13 × 17 × 53 × 151. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 17 × 53 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,205,248
Proper Divisor Sum 2,667,922
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3537307 ← → #3537337

Radix Representation

Decimal 3537326
Binary 1101011111100110101110 (22 bits)
Octal 0o15374656
Hexadecimal 0x35F9AE

Divisor Catalog (32)

1 2 13 17 26 34 53 106 151 221 302 442 689 901 1,378 1,802 1,963 2,567 3,926 5,134 8,003 11,713 16,006 23,426 33,371 66,742 104,039 136,051 208,078 272,102 1,768,663 3,537,326

Collatz Trajectory (128 steps to reach 1)

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

3,537,326 1,768,663 5,305,990 2,652,995 7,958,986 3,979,493 11,938,480 5,969,240 2,984,620 1,492,310 746,155 2,238,466 1,119,233 3,357,700 1,678,850 839,425 2,518,276 1,259,138 629,569 1,888,708 944,354 472,177 1,416,532 708,266 354,133 1,062,400 531,200 265,600 132,800 66,400 33,200 16,600 8,300 4,150 2,075 6,226 3,113 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743

More profiles

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