2,124,155

5 × 11² × 3511

2,124,155 factors as 5 × 11^2 × 3511. Its 12 positive divisors give a proper-divisor sum of 678,421, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 5 × 11^2 × 3511

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,802,576

Proper Divisor Sum 678,421

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #2124149 ← → #2124173

Radix Representation

Decimal	2124155
Binary	1000000110100101111011 (22 bits)
Octal	0o10064573
Hexadecimal	0x20697B

Divisor Catalog (12)

1 5 11 55 121 605 3,511 17,555 38,621 193,105 424,831 2,124,155

Collatz Trajectory (210 steps to reach 1)

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

2,124,155 6,372,466 3,186,233 9,558,700 4,779,350 2,389,675 7,169,026 3,584,513 10,753,540 5,376,770 2,688,385 8,065,156 4,032,578 2,016,289 6,048,868 3,024,434 1,512,217 4,536,652 2,268,326 1,134,163 3,402,490 1,701,245 5,103,736 2,551,868 1,275,934 637,967 1,913,902 956,951 2,870,854 1,435,427 4,306,282 2,153,141 6,459,424 3,229,712 1,614,856 807,428 403,714 201,857 605,572 302,786 151,393 454,180 227,090 113,545 340,636 170,318 85,159 255,478 127,739 383,218 191,609 574,828 287,414 143,707 431,122 215,561 646,684 323,342 161,671 485,014

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