λ
Integer Codex

2,510,500

22 × 53 × 5021
Abundant Even Composite

For 2,510,500, the 24 positive divisors have a total of 5,484,024. Removing 2,510,500 leaves 2,973,524, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 5021
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,484,024
Proper Divisor Sum 2,973,524
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #2510491 ← → #2510503

Radix Representation

Decimal 2510500
Binary 1001100100111010100100 (22 bits)
Octal 0o11447244
Hexadecimal 0x264EA4

Divisor Catalog (24)

1 2 4 5 10 20 25 50 100 125 250 500 5,021 10,042 20,084 25,105 50,210 100,420 125,525 251,050 502,100 627,625 1,255,250 2,510,500

Collatz Trajectory (161 steps to reach 1)

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

2,510,500 1,255,250 627,625 1,882,876 941,438 470,719 1,412,158 706,079 2,118,238 1,059,119 3,177,358 1,588,679 4,766,038 2,383,019 7,149,058 3,574,529 10,723,588 5,361,794 2,680,897 8,042,692 4,021,346 2,010,673 6,032,020 3,016,010 1,508,005 4,524,016 2,262,008 1,131,004 565,502 282,751 848,254 424,127 1,272,382 636,191 1,908,574 954,287 2,862,862 1,431,431 4,294,294 2,147,147 6,441,442 3,220,721 9,662,164 4,831,082 2,415,541 7,246,624 3,623,312 1,811,656 905,828 452,914 226,457 679,372 339,686 169,843 509,530 254,765 764,296 382,148 191,074 95,537

More profiles

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