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Atlas › Integer Profiles › Node 5,837,500

5,837,500

22 × 55 × 467
Abundant Even Composite

5,837,500 factors as 2^2 × 5^5 × 467. Its 36 positive divisors give a proper-divisor sum of 6,958,556, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^2 × 5^5 × 467
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 12,796,056
Proper Divisor Sum 6,958,556
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5837399 ← → #5837501

Radix Representation

Decimal 5837500
Binary 10110010001001010111100 (23 bits)
Octal 0o26211274
Hexadecimal 0x5912BC

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 125 250 467 500 625 934 1,250 1,868 2,335 2,500 3,125 4,670 6,250 9,340 11,675 12,500 23,350 46,700 58,375 116,750 233,500 291,875 583,750 1,167,500 1,459,375 2,918,750 5,837,500

Collatz Trajectory (214 steps to reach 1)

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

5,837,500 2,918,750 1,459,375 4,378,126 2,189,063 6,567,190 3,283,595 9,850,786 4,925,393 14,776,180 7,388,090 3,694,045 11,082,136 5,541,068 2,770,534 1,385,267 4,155,802 2,077,901 6,233,704 3,116,852 1,558,426 779,213 2,337,640 1,168,820 584,410 292,205 876,616 438,308 219,154 109,577 328,732 164,366 82,183 246,550 123,275 369,826 184,913 554,740 277,370 138,685 416,056 208,028 104,014 52,007 156,022 78,011 234,034 117,017 351,052 175,526 87,763 263,290 131,645 394,936 197,468 98,734 49,367 148,102 74,051 222,154

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