λ
Prime Ledger

2,516,142

2 × 3 × 137 × 3061
Abundant Even Composite

2,516,142 has the prime decomposition 2 × 3 × 137 × 3061. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 137 × 3061
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,070,672
Proper Divisor Sum 2,554,530
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2516123 ← → #2516197

Radix Representation

Decimal 2516142
Binary 1001100110010010101110 (22 bits)
Octal 0o11462256
Hexadecimal 0x2664AE

Divisor Catalog (16)

1 2 3 6 137 274 411 822 3,061 6,122 9,183 18,366 419,357 838,714 1,258,071 2,516,142

Collatz Trajectory (112 steps to reach 1)

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

2,516,142 1,258,071 3,774,214 1,887,107 5,661,322 2,830,661 8,491,984 4,245,992 2,122,996 1,061,498 530,749 1,592,248 796,124 398,062 199,031 597,094 298,547 895,642 447,821 1,343,464 671,732 335,866 167,933 503,800 251,900 125,950 62,975 188,926 94,463 283,390 141,695 425,086 212,543 637,630 318,815 956,446 478,223 1,434,670 717,335 2,152,006 1,076,003 3,228,010 1,614,005 4,842,016 2,421,008 1,210,504 605,252 302,626 151,313 453,940 226,970 113,485 340,456 170,228 85,114 42,557 127,672 63,836 31,918 15,959

More profiles

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