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Atlas › Integer Profiles › Node 2,736,558

2,736,558

2 × 33 × 11 × 17 × 271
Abundant Even Composite

2,736,558 factors as 2 × 3^3 × 11 × 17 × 271. Its 64 positive divisors give a proper-divisor sum of 4,313,682, so this integer is abundant. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 17 × 271
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,050,240
Proper Divisor Sum 4,313,682
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2736533 ← → #2736571

Radix Representation

Decimal 2736558
Binary 1010011100000110101110 (22 bits)
Octal 0o12340656
Hexadecimal 0x29C1AE

Divisor Catalog (60 of 64)

1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 271 297 306 374 459 542 561 594 813 918 1,122 1,626 1,683 2,439 2,981 3,366 4,607 4,878 5,049 5,962 7,317 8,943 9,214 10,098 13,821 14,634 17,886 26,829 27,642 41,463 50,677 53,658 80,487 82,926 101,354 124,389 152,031 160,974 248,778 304,062

Collatz Trajectory (169 steps to reach 1)

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

2,736,558 1,368,279 4,104,838 2,052,419 6,157,258 3,078,629 9,235,888 4,617,944 2,308,972 1,154,486 577,243 1,731,730 865,865 2,597,596 1,298,798 649,399 1,948,198 974,099 2,922,298 1,461,149 4,383,448 2,191,724 1,095,862 547,931 1,643,794 821,897 2,465,692 1,232,846 616,423 1,849,270 924,635 2,773,906 1,386,953 4,160,860 2,080,430 1,040,215 3,120,646 1,560,323 4,680,970 2,340,485 7,021,456 3,510,728 1,755,364 877,682 438,841 1,316,524 658,262 329,131 987,394 493,697 1,481,092 740,546 370,273 1,110,820 555,410 277,705 833,116 416,558 208,279 624,838

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