λ
Integer Codex

2,122,470

2 × 33 × 5 × 7 × 1123
Abundant Even Composite

For 2,122,470, the 64 positive divisors have a total of 6,474,240. Removing 2,122,470 leaves 4,351,770, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 7 × 1123
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 6,474,240
Proper Divisor Sum 4,351,770
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2122469 ← → #2122489

Radix Representation

Decimal 2122470
Binary 1000000110001011100110 (22 bits)
Octal 0o10061346
Hexadecimal 0x2062E6

Divisor Catalog (60 of 64)

1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1,123 1,890 2,246 3,369 5,615 6,738 7,861 10,107 11,230 15,722 16,845 20,214 23,583 30,321 33,690 39,305 47,166 50,535 60,642 70,749 78,610 101,070 117,915 141,498 151,605 212,247 235,830 303,210 353,745

Collatz Trajectory (104 steps to reach 1)

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

2,122,470 1,061,235 3,183,706 1,591,853 4,775,560 2,387,780 1,193,890 596,945 1,790,836 895,418 447,709 1,343,128 671,564 335,782 167,891 503,674 251,837 755,512 377,756 188,878 94,439 283,318 141,659 424,978 212,489 637,468 318,734 159,367 478,102 239,051 717,154 358,577 1,075,732 537,866 268,933 806,800 403,400 201,700 100,850 50,425 151,276 75,638 37,819 113,458 56,729 170,188 85,094 42,547 127,642 63,821 191,464 95,732 47,866 23,933 71,800 35,900 17,950 8,975 26,926 13,463

More profiles

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