λ
Sigma Notebook

7,271,078

2 × 61 × 107 × 557
Deficient Even Composite

7,271,078 is even and not a perfect square. Its factorization is 2 × 61 × 107 × 557 and its 16 divisors sum to 11,209,104.

Prime Factor Structure

Factorization String 2 × 61 × 107 × 557
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,209,104
Proper Divisor Sum 3,938,026
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7271057 ← → #7271111

Radix Representation

Decimal 7271078
Binary 11011101111001010100110 (23 bits)
Octal 0o33571246
Hexadecimal 0x6EF2A6

Divisor Catalog (16)

1 2 61 107 122 214 557 1,114 6,527 13,054 33,977 59,599 67,954 119,198 3,635,539 7,271,078

Collatz Trajectory (116 steps to reach 1)

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

7,271,078 3,635,539 10,906,618 5,453,309 16,359,928 8,179,964 4,089,982 2,044,991 6,134,974 3,067,487 9,202,462 4,601,231 13,803,694 6,901,847 20,705,542 10,352,771 31,058,314 15,529,157 46,587,472 23,293,736 11,646,868 5,823,434 2,911,717 8,735,152 4,367,576 2,183,788 1,091,894 545,947 1,637,842 818,921 2,456,764 1,228,382 614,191 1,842,574 921,287 2,763,862 1,381,931 4,145,794 2,072,897 6,218,692 3,109,346 1,554,673 4,664,020 2,332,010 1,166,005 3,498,016 1,749,008 874,504 437,252 218,626 109,313 327,940 163,970 81,985 245,956 122,978 61,489 184,468 92,234 46,117

More profiles

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