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Atlas › Integer Profiles › Node 5,900,538

5,900,538

2 × 3 × 7 × 37 × 3797
Abundant Even Composite

5,900,538 factors as 2 × 3 × 7 × 37 × 3797. Its 32 positive divisors give a proper-divisor sum of 7,954,566, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 37 × 3797
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,855,104
Proper Divisor Sum 7,954,566
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5900519 ← → #5900539

Radix Representation

Decimal 5900538
Binary 10110100000100011111010 (23 bits)
Octal 0o26404372
Hexadecimal 0x5A08FA

Divisor Catalog (32)

1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 1,554 3,797 7,594 11,391 22,782 26,579 53,158 79,737 140,489 159,474 280,978 421,467 842,934 983,423 1,966,846 2,950,269 5,900,538

Collatz Trajectory (108 steps to reach 1)

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

5,900,538 2,950,269 8,850,808 4,425,404 2,212,702 1,106,351 3,319,054 1,659,527 4,978,582 2,489,291 7,467,874 3,733,937 11,201,812 5,600,906 2,800,453 8,401,360 4,200,680 2,100,340 1,050,170 525,085 1,575,256 787,628 393,814 196,907 590,722 295,361 886,084 443,042 221,521 664,564 332,282 166,141 498,424 249,212 124,606 62,303 186,910 93,455 280,366 140,183 420,550 210,275 630,826 315,413 946,240 473,120 236,560 118,280 59,140 29,570 14,785 44,356 22,178 11,089 33,268 16,634 8,317 24,952 12,476 6,238

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