λ
Sigma Notebook

4,785,104

24 × 23 × 13003
Abundant Even Composite

4,785,104 is even and not a perfect square. Its factorization is 2^4 × 23 × 13003 and its 20 divisors sum to 9,674,976.

Prime Factor Structure

Factorization String 2^4 × 23 × 13003
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 9,674,976
Proper Divisor Sum 4,889,872
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4785101 ← → #4785113

Radix Representation

Decimal 4785104
Binary 10010010000001111010000 (23 bits)
Octal 0o22201720
Hexadecimal 0x4903D0

Divisor Catalog (20)

1 2 4 8 16 23 46 92 184 368 13,003 26,006 52,012 104,024 208,048 299,069 598,138 1,196,276 2,392,552 4,785,104

Collatz Trajectory (100 steps to reach 1)

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

4,785,104 2,392,552 1,196,276 598,138 299,069 897,208 448,604 224,302 112,151 336,454 168,227 504,682 252,341 757,024 378,512 189,256 94,628 47,314 23,657 70,972 35,486 17,743 53,230 26,615 79,846 39,923 119,770 59,885 179,656 89,828 44,914 22,457 67,372 33,686 16,843 50,530 25,265 75,796 37,898 18,949 56,848 28,424 14,212 7,106 3,553 10,660 5,330 2,665 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062

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