λ
Sigma Notebook

4,180,590

2 × 32 × 5 × 46451
Abundant Even Composite

4,180,590 is even and not a perfect square. Its factorization is 2 × 3^2 × 5 × 46451 and its 24 divisors sum to 10,869,768.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 46451
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,869,768
Proper Divisor Sum 6,689,178
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4180541 ← → #4180607

Radix Representation

Decimal 4180590
Binary 1111111100101001101110 (22 bits)
Octal 0o17745156
Hexadecimal 0x3FCA6E

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 46,451 92,902 139,353 232,255 278,706 418,059 464,510 696,765 836,118 1,393,530 2,090,295 4,180,590

Collatz Trajectory (198 steps to reach 1)

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

4,180,590 2,090,295 6,270,886 3,135,443 9,406,330 4,703,165 14,109,496 7,054,748 3,527,374 1,763,687 5,291,062 2,645,531 7,936,594 3,968,297 11,904,892 5,952,446 2,976,223 8,928,670 4,464,335 13,393,006 6,696,503 20,089,510 10,044,755 30,134,266 15,067,133 45,201,400 22,600,700 11,300,350 5,650,175 16,950,526 8,475,263 25,425,790 12,712,895 38,138,686 19,069,343 57,208,030 28,604,015 85,812,046 42,906,023 128,718,070 64,359,035 193,077,106 96,538,553 289,615,660 144,807,830 72,403,915 217,211,746 108,605,873 325,817,620 162,908,810 81,454,405 244,363,216 122,181,608 61,090,804 30,545,402 15,272,701 45,818,104 22,909,052 11,454,526 5,727,263

More profiles

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