λ
Sigma Notebook

4,807,248

24 × 3 × 100151
Abundant Even Composite

4,807,248 is even and not a perfect square. Its factorization is 2^4 × 3 × 100151 and its 20 divisors sum to 12,418,848.

Prime Factor Structure

Factorization String 2^4 × 3 × 100151
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 12,418,848
Proper Divisor Sum 7,611,600
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4807241 ← → #4807303

Radix Representation

Decimal 4807248
Binary 10010010101101001010000 (23 bits)
Octal 0o22255120
Hexadecimal 0x495A50

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 100,151 200,302 300,453 400,604 600,906 801,208 1,201,812 1,602,416 2,403,624 4,807,248

Collatz Trajectory (118 steps to reach 1)

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

4,807,248 2,403,624 1,201,812 600,906 300,453 901,360 450,680 225,340 112,670 56,335 169,006 84,503 253,510 126,755 380,266 190,133 570,400 285,200 142,600 71,300 35,650 17,825 53,476 26,738 13,369 40,108 20,054 10,027 30,082 15,041 45,124 22,562 11,281 33,844 16,922 8,461 25,384 12,692 6,346 3,173 9,520 4,760 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850

More profiles

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