λ
Sigma Notebook

2,181,966

2 × 3 × 31 × 11731
Abundant Even Composite

2,181,966 is even and not a perfect square. Its factorization is 2 × 3 × 31 × 11731 and its 16 divisors sum to 4,505,088.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 11731
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,505,088
Proper Divisor Sum 2,323,122
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2181953 ← → #2181973

Radix Representation

Decimal 2181966
Binary 1000010100101101001110 (22 bits)
Octal 0o10245516
Hexadecimal 0x214B4E

Divisor Catalog (16)

1 2 3 6 31 62 93 186 11,731 23,462 35,193 70,386 363,661 727,322 1,090,983 2,181,966

Collatz Trajectory (210 steps to reach 1)

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

2,181,966 1,090,983 3,272,950 1,636,475 4,909,426 2,454,713 7,364,140 3,682,070 1,841,035 5,523,106 2,761,553 8,284,660 4,142,330 2,071,165 6,213,496 3,106,748 1,553,374 776,687 2,330,062 1,165,031 3,495,094 1,747,547 5,242,642 2,621,321 7,863,964 3,931,982 1,965,991 5,897,974 2,948,987 8,846,962 4,423,481 13,270,444 6,635,222 3,317,611 9,952,834 4,976,417 14,929,252 7,464,626 3,732,313 11,196,940 5,598,470 2,799,235 8,397,706 4,198,853 12,596,560 6,298,280 3,149,140 1,574,570 787,285 2,361,856 1,180,928 590,464 295,232 147,616 73,808 36,904 18,452 9,226 4,613 13,840

More profiles

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