λ
Sigma Notebook

3,699,206

2 × 72 × 37747
Deficient Even Composite

3,699,206 is even and not a perfect square. Its factorization is 2 × 7^2 × 37747 and its 12 divisors sum to 6,454,908.

Prime Factor Structure

Factorization String 2 × 7^2 × 37747
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,454,908
Proper Divisor Sum 2,755,702
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3699203 ← → #3699209

Radix Representation

Decimal 3699206
Binary 1110000111001000000110 (22 bits)
Octal 0o16071006
Hexadecimal 0x387206

Divisor Catalog (12)

1 2 7 14 49 98 37,747 75,494 264,229 528,458 1,849,603 3,699,206

Collatz Trajectory (309 steps to reach 1)

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

3,699,206 1,849,603 5,548,810 2,774,405 8,323,216 4,161,608 2,080,804 1,040,402 520,201 1,560,604 780,302 390,151 1,170,454 585,227 1,755,682 877,841 2,633,524 1,316,762 658,381 1,975,144 987,572 493,786 246,893 740,680 370,340 185,170 92,585 277,756 138,878 69,439 208,318 104,159 312,478 156,239 468,718 234,359 703,078 351,539 1,054,618 527,309 1,581,928 790,964 395,482 197,741 593,224 296,612 148,306 74,153 222,460 111,230 55,615 166,846 83,423 250,270 125,135 375,406 187,703 563,110 281,555 844,666

More profiles

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