27,190,818

2 × 3² × 1510601

27,190,818 factors as 2 × 3^2 × 1510601. Its 12 positive divisors give a proper-divisor sum of 31,722,660, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 1510601

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 58,913,478

Proper Divisor Sum 31,722,660

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #27190817 ← → #27190847

Radix Representation

Decimal	27190818
Binary	1100111101110011000100010 (25 bits)
Octal	0o147563042
Hexadecimal	0x19EE622

Divisor Catalog (12)

1 2 3 6 9 18 1,510,601 3,021,202 4,531,803 9,063,606 13,595,409 27,190,818

Collatz Trajectory (136 steps to reach 1)

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

27,190,818 13,595,409 40,786,228 20,393,114 10,196,557 30,589,672 15,294,836 7,647,418 3,823,709 11,471,128 5,735,564 2,867,782 1,433,891 4,301,674 2,150,837 6,452,512 3,226,256 1,613,128 806,564 403,282 201,641 604,924 302,462 151,231 453,694 226,847 680,542 340,271 1,020,814 510,407 1,531,222 765,611 2,296,834 1,148,417 3,445,252 1,722,626 861,313 2,583,940 1,291,970 645,985 1,937,956 968,978 484,489 1,453,468 726,734 363,367 1,090,102 545,051 1,635,154 817,577 2,452,732 1,226,366 613,183 1,839,550 919,775 2,759,326 1,379,663 4,138,990 2,069,495 6,208,486

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