11,618,172

2² × 3² × 322727

11,618,172 factors as 2^2 × 3^2 × 322727. Its 18 positive divisors give a proper-divisor sum of 17,750,076, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 322727

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 29,368,248

Proper Divisor Sum 17,750,076

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #11618153 ← → #11618203

Radix Representation

Decimal	11618172
Binary	101100010100011101111100 (24 bits)
Octal	0o54243574
Hexadecimal	0xB1477C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 322,727 645,454 968,181 1,290,908 1,936,362 2,904,543 3,872,724 5,809,086 11,618,172

Collatz Trajectory (184 steps to reach 1)

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

11,618,172 5,809,086 2,904,543 8,713,630 4,356,815 13,070,446 6,535,223 19,605,670 9,802,835 29,408,506 14,704,253 44,112,760 22,056,380 11,028,190 5,514,095 16,542,286 8,271,143 24,813,430 12,406,715 37,220,146 18,610,073 55,830,220 27,915,110 13,957,555 41,872,666 20,936,333 62,809,000 31,404,500 15,702,250 7,851,125 23,553,376 11,776,688 5,888,344 2,944,172 1,472,086 736,043 2,208,130 1,104,065 3,312,196 1,656,098 828,049 2,484,148 1,242,074 621,037 1,863,112 931,556 465,778 232,889 698,668 349,334 174,667 524,002 262,001 786,004 393,002 196,501 589,504 294,752 147,376 73,688

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