λ
Ratio Atlas

2,724,811

17 × 29 × 5527
Deficient Odd Composite

2,724,811 factors as 17 × 29 × 5527. Its 8 positive divisors give a proper-divisor sum of 260,309, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 17 × 29 × 5527
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,985,120
Proper Divisor Sum 260,309
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2724803 ← → #2724829

Radix Representation

Decimal 2724811
Binary 1010011001001111001011 (22 bits)
Octal 0o12311713
Hexadecimal 0x2993CB

Divisor Catalog (8)

1 17 29 493 5,527 93,959 160,283 2,724,811

Collatz Trajectory (107 steps to reach 1)

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

2,724,811 8,174,434 4,087,217 12,261,652 6,130,826 3,065,413 9,196,240 4,598,120 2,299,060 1,149,530 574,765 1,724,296 862,148 431,074 215,537 646,612 323,306 161,653 484,960 242,480 121,240 60,620 30,310 15,155 45,466 22,733 68,200 34,100 17,050 8,525 25,576 12,788 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481

More profiles

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