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Atlas › Integer Profiles › Node 5,857,192

5,857,192

23 × 11 × 101 × 659
Abundant Even Composite

5,857,192 factors as 2^3 × 11 × 101 × 659. Its 32 positive divisors give a proper-divisor sum of 6,260,408, so this integer is abundant. The Collatz stopping time is 245 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 101 × 659
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,117,600
Proper Divisor Sum 6,260,408
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5857183 ← → #5857193

Radix Representation

Decimal 5857192
Binary 10110010101111110101000 (23 bits)
Octal 0o26257650
Hexadecimal 0x595FA8

Divisor Catalog (32)

1 2 4 8 11 22 44 88 101 202 404 659 808 1,111 1,318 2,222 2,636 4,444 5,272 7,249 8,888 14,498 28,996 57,992 66,559 133,118 266,236 532,472 732,149 1,464,298 2,928,596 5,857,192

Collatz Trajectory (245 steps to reach 1)

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

5,857,192 2,928,596 1,464,298 732,149 2,196,448 1,098,224 549,112 274,556 137,278 68,639 205,918 102,959 308,878 154,439 463,318 231,659 694,978 347,489 1,042,468 521,234 260,617 781,852 390,926 195,463 586,390 293,195 879,586 439,793 1,319,380 659,690 329,845 989,536 494,768 247,384 123,692 61,846 30,923 92,770 46,385 139,156 69,578 34,789 104,368 52,184 26,092 13,046 6,523 19,570 9,785 29,356 14,678 7,339 22,018 11,009 33,028 16,514 8,257 24,772 12,386 6,193

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