λ
Sigma Notebook

8,404,040

23 × 5 × 210101
Abundant Even Composite

8,404,040 is even and not a perfect square. Its factorization is 2^3 × 5 × 210101 and its 16 divisors sum to 18,909,180.

Prime Factor Structure

Factorization String 2^3 × 5 × 210101
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,909,180
Proper Divisor Sum 10,505,140
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #8404021 ← → #8404111

Radix Representation

Decimal 8404040
Binary 100000000011110001001000 (24 bits)
Octal 0o40036110
Hexadecimal 0x803C48

Divisor Catalog (16)

1 2 4 5 8 10 20 40 210,101 420,202 840,404 1,050,505 1,680,808 2,101,010 4,202,020 8,404,040

Collatz Trajectory (93 steps to reach 1)

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

8,404,040 4,202,020 2,101,010 1,050,505 3,151,516 1,575,758 787,879 2,363,638 1,181,819 3,545,458 1,772,729 5,318,188 2,659,094 1,329,547 3,988,642 1,994,321 5,982,964 2,991,482 1,495,741 4,487,224 2,243,612 1,121,806 560,903 1,682,710 841,355 2,524,066 1,262,033 3,786,100 1,893,050 946,525 2,839,576 1,419,788 709,894 354,947 1,064,842 532,421 1,597,264 798,632 399,316 199,658 99,829 299,488 149,744 74,872 37,436 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885

More profiles

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