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Atlas › Integer Profiles › Node 5,339,936

5,339,936

25 × 7 × 31 × 769
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 7 × 31 × 769
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,418,560
Proper Divisor Sum 7,078,624
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5339903 ← → #5339987

Radix Representation

Decimal 5339936
Binary 10100010111101100100000 (23 bits)
Octal 0o24275440
Hexadecimal 0x517B20

Divisor Catalog (48)

1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 769 868 992 1,538 1,736 3,076 3,472 5,383 6,152 6,944 10,766 12,304 21,532 23,839 24,608 43,064 47,678 86,128 95,356 166,873 172,256 190,712 333,746 381,424 667,492 762,848 1,334,984 2,669,968 5,339,936

Collatz Trajectory (113 steps to reach 1)

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

5,339,936 2,669,968 1,334,984 667,492 333,746 166,873 500,620 250,310 125,155 375,466 187,733 563,200 281,600 140,800 70,400 35,200 17,600 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958

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