λ
Sigma Notebook

4,075,300

22 × 52 × 83 × 491
Abundant Even Composite

4,075,300 is even and not a perfect square. Its factorization is 2^2 × 5^2 × 83 × 491 and its 36 divisors sum to 8,968,176.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 83 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,968,176
Proper Divisor Sum 4,892,876
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4075297 ← → #4075319

Radix Representation

Decimal 4075300
Binary 1111100010111100100100 (22 bits)
Octal 0o17427444
Hexadecimal 0x3E2F24

Divisor Catalog (36)

1 2 4 5 10 20 25 50 83 100 166 332 415 491 830 982 1,660 1,964 2,075 2,455 4,150 4,910 8,300 9,820 12,275 24,550 40,753 49,100 81,506 163,012 203,765 407,530 815,060 1,018,825 2,037,650 4,075,300

Collatz Trajectory (110 steps to reach 1)

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

4,075,300 2,037,650 1,018,825 3,056,476 1,528,238 764,119 2,292,358 1,146,179 3,438,538 1,719,269 5,157,808 2,578,904 1,289,452 644,726 322,363 967,090 483,545 1,450,636 725,318 362,659 1,087,978 543,989 1,631,968 815,984 407,992 203,996 101,998 50,999 152,998 76,499 229,498 114,749 344,248 172,124 86,062 43,031 129,094 64,547 193,642 96,821 290,464 145,232 72,616 36,308 18,154 9,077 27,232 13,616 6,808 3,404 1,702 851 2,554 1,277 3,832 1,916 958 479 1,438 719

More profiles

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