λ
Integer Codex

2,013,330

2 × 3 × 5 × 11 × 6101
Abundant Even Composite

For 2,013,330, the 32 positive divisors have a total of 5,272,128. Removing 2,013,330 leaves 3,258,798, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 11 × 6101
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,272,128
Proper Divisor Sum 3,258,798
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #2013329 ← → #2013337

Radix Representation

Decimal 2013330
Binary 111101011100010010010 (21 bits)
Octal 0o7534222
Hexadecimal 0x1EB892

Divisor Catalog (32)

1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 6,101 12,202 18,303 30,505 36,606 61,010 67,111 91,515 134,222 183,030 201,333 335,555 402,666 671,110 1,006,665 2,013,330

Collatz Trajectory (184 steps to reach 1)

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

2,013,330 1,006,665 3,019,996 1,509,998 754,999 2,264,998 1,132,499 3,397,498 1,698,749 5,096,248 2,548,124 1,274,062 637,031 1,911,094 955,547 2,866,642 1,433,321 4,299,964 2,149,982 1,074,991 3,224,974 1,612,487 4,837,462 2,418,731 7,256,194 3,628,097 10,884,292 5,442,146 2,721,073 8,163,220 4,081,610 2,040,805 6,122,416 3,061,208 1,530,604 765,302 382,651 1,147,954 573,977 1,721,932 860,966 430,483 1,291,450 645,725 1,937,176 968,588 484,294 242,147 726,442 363,221 1,089,664 544,832 272,416 136,208 68,104 34,052 17,026 8,513 25,540 12,770

More profiles

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