λ
Sigma Notebook

8,107,884

22 × 33 × 37 × 2029
Abundant Even Composite

8,107,884 is even and not a perfect square. Its factorization is 2^2 × 3^3 × 37 × 2029 and its 48 divisors sum to 21,599,200.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 37 × 2029
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,599,200
Proper Divisor Sum 13,491,316
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8107877 ← → #8107903

Radix Representation

Decimal 8107884
Binary 11110111011011101101100 (23 bits)
Octal 0o36733554
Hexadecimal 0x7BB76C

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1,332 1,998 2,029 3,996 4,058 6,087 8,116 12,174 18,261 24,348 36,522 54,783 73,044 75,073 109,566 150,146 219,132 225,219 300,292 450,438 675,657 900,876 1,351,314 2,026,971 2,702,628 4,053,942 8,107,884

Collatz Trajectory (199 steps to reach 1)

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

8,107,884 4,053,942 2,026,971 6,080,914 3,040,457 9,121,372 4,560,686 2,280,343 6,841,030 3,420,515 10,261,546 5,130,773 15,392,320 7,696,160 3,848,080 1,924,040 962,020 481,010 240,505 721,516 360,758 180,379 541,138 270,569 811,708 405,854 202,927 608,782 304,391 913,174 456,587 1,369,762 684,881 2,054,644 1,027,322 513,661 1,540,984 770,492 385,246 192,623 577,870 288,935 866,806 433,403 1,300,210 650,105 1,950,316 975,158 487,579 1,462,738 731,369 2,194,108 1,097,054 548,527 1,645,582 822,791 2,468,374 1,234,187 3,702,562 1,851,281

More profiles

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