λ
Sigma Notebook

4,752,790

2 × 5 × 7 × 43 × 1579
Abundant Even Composite

4,752,790 is even and not a perfect square. Its factorization is 2 × 5 × 7 × 43 × 1579 and its 32 divisors sum to 10,010,880.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 43 × 1579
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,010,880
Proper Divisor Sum 5,258,090
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4752773 ← → #4752791

Radix Representation

Decimal 4752790
Binary 10010001000010110010110 (23 bits)
Octal 0o22102626
Hexadecimal 0x488596

Divisor Catalog (32)

1 2 5 7 10 14 35 43 70 86 215 301 430 602 1,505 1,579 3,010 3,158 7,895 11,053 15,790 22,106 55,265 67,897 110,530 135,794 339,485 475,279 678,970 950,558 2,376,395 4,752,790

Collatz Trajectory (100 steps to reach 1)

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

4,752,790 2,376,395 7,129,186 3,564,593 10,693,780 5,346,890 2,673,445 8,020,336 4,010,168 2,005,084 1,002,542 501,271 1,503,814 751,907 2,255,722 1,127,861 3,383,584 1,691,792 845,896 422,948 211,474 105,737 317,212 158,606 79,303 237,910 118,955 356,866 178,433 535,300 267,650 133,825 401,476 200,738 100,369 301,108 150,554 75,277 225,832 112,916 56,458 28,229 84,688 42,344 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838

More profiles

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