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Atlas › Integer Profiles › Node 6,133,527

6,133,527

32 × 37 × 113 × 163
Deficient Odd Composite

6,133,527 factors as 3^2 × 37 × 113 × 163. Its 24 positive divisors give a proper-divisor sum of 3,102,297, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 3^2 × 37 × 113 × 163
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,235,824
Proper Divisor Sum 3,102,297
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6133499 ← → #6133537

Radix Representation

Decimal 6133527
Binary 10111011001011100010111 (23 bits)
Octal 0o27313427
Hexadecimal 0x5D9717

Divisor Catalog (24)

1 3 9 37 111 113 163 333 339 489 1,017 1,467 4,181 6,031 12,543 18,093 18,419 37,629 54,279 55,257 165,771 681,503 2,044,509 6,133,527

Collatz Trajectory (152 steps to reach 1)

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

6,133,527 18,400,582 9,200,291 27,600,874 13,800,437 41,401,312 20,700,656 10,350,328 5,175,164 2,587,582 1,293,791 3,881,374 1,940,687 5,822,062 2,911,031 8,733,094 4,366,547 13,099,642 6,549,821 19,649,464 9,824,732 4,912,366 2,456,183 7,368,550 3,684,275 11,052,826 5,526,413 16,579,240 8,289,620 4,144,810 2,072,405 6,217,216 3,108,608 1,554,304 777,152 388,576 194,288 97,144 48,572 24,286 12,143 36,430 18,215 54,646 27,323 81,970 40,985 122,956 61,478 30,739 92,218 46,109 138,328 69,164 34,582 17,291 51,874 25,937 77,812 38,906

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