2,807,771

17 × 23 × 43 × 167

2,807,771 factors as 17 × 23 × 43 × 167. Its 16 positive divisors give a proper-divisor sum of 385,573, so this integer is deficient. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 17 × 23 × 43 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,193,344

Proper Divisor Sum 385,573

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2807767 ← → #2807789

Radix Representation

Decimal	2807771
Binary	1010101101011111011011 (22 bits)
Octal	0o12553733
Hexadecimal	0x2AD7DB

Divisor Catalog (16)

1 17 23 43 167 391 731 989 2,839 3,841 7,181 16,813 65,297 122,077 165,163 2,807,771

Collatz Trajectory (156 steps to reach 1)

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

2,807,771 8,423,314 4,211,657 12,634,972 6,317,486 3,158,743 9,476,230 4,738,115 14,214,346 7,107,173 21,321,520 10,660,760 5,330,380 2,665,190 1,332,595 3,997,786 1,998,893 5,996,680 2,998,340 1,499,170 749,585 2,248,756 1,124,378 562,189 1,686,568 843,284 421,642 210,821 632,464 316,232 158,116 79,058 39,529 118,588 59,294 29,647 88,942 44,471 133,414 66,707 200,122 100,061 300,184 150,092 75,046 37,523 112,570 56,285 168,856 84,428 42,214 21,107 63,322 31,661 94,984 47,492 23,746 11,873 35,620 17,810

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