λ
Integer Codex

4,050,267

3 × 13 × 17 × 41 × 149
Deficient Odd Composite

For 4,050,267, the 32 positive divisors have a total of 6,350,400. Removing 4,050,267 leaves 2,300,133, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 13 × 17 × 41 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,350,400
Proper Divisor Sum 2,300,133
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4050253 ← → #4050281

Radix Representation

Decimal 4050267
Binary 1111011100110101011011 (22 bits)
Octal 0o17346533
Hexadecimal 0x3DCD5B

Divisor Catalog (32)

1 3 13 17 39 41 51 123 149 221 447 533 663 697 1,599 1,937 2,091 2,533 5,811 6,109 7,599 9,061 18,327 27,183 32,929 79,417 98,787 103,853 238,251 311,559 1,350,089 4,050,267

Collatz Trajectory (185 steps to reach 1)

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

4,050,267 12,150,802 6,075,401 18,226,204 9,113,102 4,556,551 13,669,654 6,834,827 20,504,482 10,252,241 30,756,724 15,378,362 7,689,181 23,067,544 11,533,772 5,766,886 2,883,443 8,650,330 4,325,165 12,975,496 6,487,748 3,243,874 1,621,937 4,865,812 2,432,906 1,216,453 3,649,360 1,824,680 912,340 456,170 228,085 684,256 342,128 171,064 85,532 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283

More profiles

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