λ
Math Directory

4,030,033

7 × 19 × 157 × 193
Deficient Odd Composite

4,030,033 factors as 7 × 19 × 157 × 193. Its 16 positive divisors give a proper-divisor sum of 874,287, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 7 × 19 × 157 × 193
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,904,320
Proper Divisor Sum 874,287
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #4030007 ← → #4030051

Radix Representation

Decimal 4030033
Binary 1111010111111001010001 (22 bits)
Octal 0o17277121
Hexadecimal 0x3D7E51

Divisor Catalog (16)

1 7 19 133 157 193 1,099 1,351 2,983 3,667 20,881 25,669 30,301 212,107 575,719 4,030,033

Collatz Trajectory (136 steps to reach 1)

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

4,030,033 12,090,100 6,045,050 3,022,525 9,067,576 4,533,788 2,266,894 1,133,447 3,400,342 1,700,171 5,100,514 2,550,257 7,650,772 3,825,386 1,912,693 5,738,080 2,869,040 1,434,520 717,260 358,630 179,315 537,946 268,973 806,920 403,460 201,730 100,865 302,596 151,298 75,649 226,948 113,474 56,737 170,212 85,106 42,553 127,660 63,830 31,915 95,746 47,873 143,620 71,810 35,905 107,716 53,858 26,929 80,788 40,394 20,197 60,592 30,296 15,148 7,574 3,787 11,362 5,681 17,044 8,522 4,261

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