2,647,809

3⁴ × 97 × 337

2,647,809 factors as 3^4 × 97 × 337. Its 20 positive divisors give a proper-divisor sum of 1,360,195, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 3^4 × 97 × 337

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 4,008,004

Proper Divisor Sum 1,360,195

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2647807 ← → #2647817

Radix Representation

Decimal	2647809
Binary	1010000110011100000001 (22 bits)
Octal	0o12063401
Hexadecimal	0x286701

Divisor Catalog (20)

1 3 9 27 81 97 291 337 873 1,011 2,619 3,033 7,857 9,099 27,297 32,689 98,067 294,201 882,603 2,647,809

Collatz Trajectory (125 steps to reach 1)

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

2,647,809 7,943,428 3,971,714 1,985,857 5,957,572 2,978,786 1,489,393 4,468,180 2,234,090 1,117,045 3,351,136 1,675,568 837,784 418,892 209,446 104,723 314,170 157,085 471,256 235,628 117,814 58,907 176,722 88,361 265,084 132,542 66,271 198,814 99,407 298,222 149,111 447,334 223,667 671,002 335,501 1,006,504 503,252 251,626 125,813 377,440 188,720 94,360 47,180 23,590 11,795 35,386 17,693 53,080 26,540 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798

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