λ
Integer Codex

2,510,196

22 × 3 × 13 × 16091
Abundant Even Composite

For 2,510,196, the 24 positive divisors have a total of 6,308,064. Removing 2,510,196 leaves 3,797,868, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 16091
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,308,064
Proper Divisor Sum 3,797,868
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2510171 ← → #2510219

Radix Representation

Decimal 2510196
Binary 1001100100110101110100 (22 bits)
Octal 0o11446564
Hexadecimal 0x264D74

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 16,091 32,182 48,273 64,364 96,546 193,092 209,183 418,366 627,549 836,732 1,255,098 2,510,196

Collatz Trajectory (112 steps to reach 1)

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

2,510,196 1,255,098 627,549 1,882,648 941,324 470,662 235,331 705,994 352,997 1,058,992 529,496 264,748 132,374 66,187 198,562 99,281 297,844 148,922 74,461 223,384 111,692 55,846 27,923 83,770 41,885 125,656 62,828 31,414 15,707 47,122 23,561 70,684 35,342 17,671 53,014 26,507 79,522 39,761 119,284 59,642 29,821 89,464 44,732 22,366 11,183 33,550 16,775 50,326 25,163 75,490 37,745 113,236 56,618 28,309 84,928 42,464 21,232 10,616 5,308 2,654

More profiles

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