1,246,806

2 × 3³ × 11 × 2099

1,246,806 factors as 2 × 3^3 × 11 × 2099. Its 32 positive divisors give a proper-divisor sum of 1,777,194, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 2099

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,024,000

Proper Divisor Sum 1,777,194

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1246781 ← → #1246823

Radix Representation

Decimal	1246806
Binary	100110000011001010110 (21 bits)
Octal	0o4603126
Hexadecimal	0x130656

Divisor Catalog (32)

1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 2,099 4,198 6,297 12,594 18,891 23,089 37,782 46,178 56,673 69,267 113,346 138,534 207,801 415,602 623,403 1,246,806

Collatz Trajectory (173 steps to reach 1)

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

1,246,806 623,403 1,870,210 935,105 2,805,316 1,402,658 701,329 2,103,988 1,051,994 525,997 1,577,992 788,996 394,498 197,249 591,748 295,874 147,937 443,812 221,906 110,953 332,860 166,430 83,215 249,646 124,823 374,470 187,235 561,706 280,853 842,560 421,280 210,640 105,320 52,660 26,330 13,165 39,496 19,748 9,874 4,937 14,812 7,406 3,703 11,110 5,555 16,666 8,333 25,000 12,500 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220

More profiles

7,772,832 724,528 3,830,726 4,946,648 4,072,778 4,566,046 3,460,278 6,097,091 5,365,385 7,642,110 8,877,113 2,034,159 2,800,765 8,212,567 4,492,096 8,083,596

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