λ
Sigma Notebook

4,030,188

22 × 3 × 29 × 37 × 313
Abundant Even Composite

4,030,188 is even and not a perfect square. Its factorization is 2^2 × 3 × 29 × 37 × 313 and its 48 divisors sum to 10,022,880.

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 37 × 313
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,022,880
Proper Divisor Sum 5,992,692
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4030157 ← → #4030189

Radix Representation

Decimal 4030188
Binary 1111010111111011101100 (22 bits)
Octal 0o17277354
Hexadecimal 0x3D7EEC

Divisor Catalog (48)

1 2 3 4 6 12 29 37 58 74 87 111 116 148 174 222 313 348 444 626 939 1,073 1,252 1,878 2,146 3,219 3,756 4,292 6,438 9,077 11,581 12,876 18,154 23,162 27,231 34,743 36,308 46,324 54,462 69,486 108,924 138,972 335,849 671,698 1,007,547 1,343,396 2,015,094 4,030,188

Collatz Trajectory (136 steps to reach 1)

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

4,030,188 2,015,094 1,007,547 3,022,642 1,511,321 4,533,964 2,266,982 1,133,491 3,400,474 1,700,237 5,100,712 2,550,356 1,275,178 637,589 1,912,768 956,384 478,192 239,096 119,548 59,774 29,887 89,662 44,831 134,494 67,247 201,742 100,871 302,614 151,307 453,922 226,961 680,884 340,442 170,221 510,664 255,332 127,666 63,833 191,500 95,750 47,875 143,626 71,813 215,440 107,720 53,860 26,930 13,465 40,396 20,198 10,099 30,298 15,149 45,448 22,724 11,362 5,681 17,044 8,522 4,261

More profiles

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