λ
Sigma Notebook

2,202,734

2 × 367 × 3001
Deficient Even Composite

2,202,734 is even and not a perfect square. Its factorization is 2 × 367 × 3001 and its 8 divisors sum to 3,314,208.

Prime Factor Structure

Factorization String 2 × 367 × 3001
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,314,208
Proper Divisor Sum 1,111,474
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2202719 ← → #2202763

Radix Representation

Decimal 2202734
Binary 1000011001110001101110 (22 bits)
Octal 0o10316156
Hexadecimal 0x219C6E

Divisor Catalog (8)

1 2 367 734 3,001 6,002 1,101,367 2,202,734

Collatz Trajectory (192 steps to reach 1)

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

2,202,734 1,101,367 3,304,102 1,652,051 4,956,154 2,478,077 7,434,232 3,717,116 1,858,558 929,279 2,787,838 1,393,919 4,181,758 2,090,879 6,272,638 3,136,319 9,408,958 4,704,479 14,113,438 7,056,719 21,170,158 10,585,079 31,755,238 15,877,619 47,632,858 23,816,429 71,449,288 35,724,644 17,862,322 8,931,161 26,793,484 13,396,742 6,698,371 20,095,114 10,047,557 30,142,672 15,071,336 7,535,668 3,767,834 1,883,917 5,651,752 2,825,876 1,412,938 706,469 2,119,408 1,059,704 529,852 264,926 132,463 397,390 198,695 596,086 298,043 894,130 447,065 1,341,196 670,598 335,299 1,005,898 502,949

More profiles

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