λ
Sigma Notebook

4,200,604

22 × 1050151
Deficient Even Composite

4,200,604 is even and not a perfect square. Its factorization is 2^2 × 1050151 and its 6 divisors sum to 7,351,064.

Prime Factor Structure

Factorization String 2^2 × 1050151
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 7,351,064
Proper Divisor Sum 3,150,460
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #4200601 ← → #4200607

Radix Representation

Decimal 4200604
Binary 10000000001100010011100 (23 bits)
Octal 0o20014234
Hexadecimal 0x40189C

Divisor Catalog (6)

1 2 4 1,050,151 2,100,302 4,200,604

Collatz Trajectory (242 steps to reach 1)

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

4,200,604 2,100,302 1,050,151 3,150,454 1,575,227 4,725,682 2,362,841 7,088,524 3,544,262 1,772,131 5,316,394 2,658,197 7,974,592 3,987,296 1,993,648 996,824 498,412 249,206 124,603 373,810 186,905 560,716 280,358 140,179 420,538 210,269 630,808 315,404 157,702 78,851 236,554 118,277 354,832 177,416 88,708 44,354 22,177 66,532 33,266 16,633 49,900 24,950 12,475 37,426 18,713 56,140 28,070 14,035 42,106 21,053 63,160 31,580 15,790 7,895 23,686 11,843 35,530 17,765 53,296 26,648

More profiles

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