11,628,006

2 × 3 × 13 × 149077

11,628,006 factors as 2 × 3 × 13 × 149077. Its 16 positive divisors give a proper-divisor sum of 13,417,098, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 149077

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 25,045,104

Proper Divisor Sum 13,417,098

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #11627989 ← → #11628013

Radix Representation

Decimal	11628006
Binary	101100010110110111100110 (24 bits)
Octal	0o54266746
Hexadecimal	0xB16DE6

Divisor Catalog (16)

1 2 3 6 13 26 39 78 149,077 298,154 447,231 894,462 1,938,001 3,876,002 5,814,003 11,628,006

Collatz Trajectory (184 steps to reach 1)

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

11,628,006 5,814,003 17,442,010 8,721,005 26,163,016 13,081,508 6,540,754 3,270,377 9,811,132 4,905,566 2,452,783 7,358,350 3,679,175 11,037,526 5,518,763 16,556,290 8,278,145 24,834,436 12,417,218 6,208,609 18,625,828 9,312,914 4,656,457 13,969,372 6,984,686 3,492,343 10,477,030 5,238,515 15,715,546 7,857,773 23,573,320 11,786,660 5,893,330 2,946,665 8,839,996 4,419,998 2,209,999 6,629,998 3,314,999 9,944,998 4,972,499 14,917,498 7,458,749 22,376,248 11,188,124 5,594,062 2,797,031 8,391,094 4,195,547 12,586,642 6,293,321 18,879,964 9,439,982 4,719,991 14,159,974 7,079,987 21,239,962 10,619,981 31,859,944 15,929,972

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