λ
Sigma Notebook

5,142,380

22 × 5 × 223 × 1153
Abundant Even Composite

5,142,380 is even and not a perfect square. Its factorization is 2^2 × 5 × 223 × 1153 and its 24 divisors sum to 10,856,832.

Prime Factor Structure

Factorization String 2^2 × 5 × 223 × 1153
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,856,832
Proper Divisor Sum 5,714,452
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5142353 ← → #5142383

Radix Representation

Decimal 5142380
Binary 10011100111011101101100 (23 bits)
Octal 0o23473554
Hexadecimal 0x4E776C

Divisor Catalog (24)

1 2 4 5 10 20 223 446 892 1,115 1,153 2,230 2,306 4,460 4,612 5,765 11,530 23,060 257,119 514,238 1,028,476 1,285,595 2,571,190 5,142,380

Collatz Trajectory (82 steps to reach 1)

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

5,142,380 2,571,190 1,285,595 3,856,786 1,928,393 5,785,180 2,892,590 1,446,295 4,338,886 2,169,443 6,508,330 3,254,165 9,762,496 4,881,248 2,440,624 1,220,312 610,156 305,078 152,539 457,618 228,809 686,428 343,214 171,607 514,822 257,411 772,234 386,117 1,158,352 579,176 289,588 144,794 72,397 217,192 108,596 54,298 27,149 81,448 40,724 20,362 10,181 30,544 15,272 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179 538 269 808 404 202 101 304 152

More profiles

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