λ
Integer Codex

2,510,274

2 × 3 × 13 × 32183
Abundant Even Composite

For 2,510,274, the 16 positive divisors have a total of 5,406,912. Removing 2,510,274 leaves 2,896,638, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 32183
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,406,912
Proper Divisor Sum 2,896,638
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2510227 ← → #2510279

Radix Representation

Decimal 2510274
Binary 1001100100110111000010 (22 bits)
Octal 0o11446702
Hexadecimal 0x264DC2

Divisor Catalog (16)

1 2 3 6 13 26 39 78 32,183 64,366 96,549 193,098 418,379 836,758 1,255,137 2,510,274

Collatz Trajectory (161 steps to reach 1)

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

2,510,274 1,255,137 3,765,412 1,882,706 941,353 2,824,060 1,412,030 706,015 2,118,046 1,059,023 3,177,070 1,588,535 4,765,606 2,382,803 7,148,410 3,574,205 10,722,616 5,361,308 2,680,654 1,340,327 4,020,982 2,010,491 6,031,474 3,015,737 9,047,212 4,523,606 2,261,803 6,785,410 3,392,705 10,178,116 5,089,058 2,544,529 7,633,588 3,816,794 1,908,397 5,725,192 2,862,596 1,431,298 715,649 2,146,948 1,073,474 536,737 1,610,212 805,106 402,553 1,207,660 603,830 301,915 905,746 452,873 1,358,620 679,310 339,655 1,018,966 509,483 1,528,450 764,225 2,292,676 1,146,338 573,169

More profiles

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