2,773,089

3³ × 11 × 9337

2,773,089 factors as 3^3 × 11 × 9337. Its 16 positive divisors give a proper-divisor sum of 1,709,151, so this integer is deficient. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 3^3 × 11 × 9337

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,482,240

Proper Divisor Sum 1,709,151

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2773081 ← → #2773093

Radix Representation

Decimal	2773089
Binary	1010100101000001100001 (22 bits)
Octal	0o12450141
Hexadecimal	0x2A5061

Divisor Catalog (16)

1 3 9 11 27 33 99 297 9,337 28,011 84,033 102,707 252,099 308,121 924,363 2,773,089

Collatz Trajectory (156 steps to reach 1)

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

2,773,089 8,319,268 4,159,634 2,079,817 6,239,452 3,119,726 1,559,863 4,679,590 2,339,795 7,019,386 3,509,693 10,529,080 5,264,540 2,632,270 1,316,135 3,948,406 1,974,203 5,922,610 2,961,305 8,883,916 4,441,958 2,220,979 6,662,938 3,331,469 9,994,408 4,997,204 2,498,602 1,249,301 3,747,904 1,873,952 936,976 468,488 234,244 117,122 58,561 175,684 87,842 43,921 131,764 65,882 32,941 98,824 49,412 24,706 12,353 37,060 18,530 9,265 27,796 13,898 6,949 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933

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