λ
Sigma Notebook

5,787,117

32 × 7 × 97 × 947
Deficient Odd Composite

5,787,117 is odd and not a perfect square. Its factorization is 3^2 × 7 × 97 × 947 and its 24 divisors sum to 9,662,016.

Prime Factor Structure

Factorization String 3^2 × 7 × 97 × 947
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,662,016
Proper Divisor Sum 3,874,899
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5787107 ← → #5787121

Radix Representation

Decimal 5787117
Binary 10110000100110111101101 (23 bits)
Octal 0o26046755
Hexadecimal 0x584DED

Divisor Catalog (24)

1 3 7 9 21 63 97 291 679 873 947 2,037 2,841 6,111 6,629 8,523 19,887 59,661 91,859 275,577 643,013 826,731 1,929,039 5,787,117

Collatz Trajectory (183 steps to reach 1)

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

5,787,117 17,361,352 8,680,676 4,340,338 2,170,169 6,510,508 3,255,254 1,627,627 4,882,882 2,441,441 7,324,324 3,662,162 1,831,081 5,493,244 2,746,622 1,373,311 4,119,934 2,059,967 6,179,902 3,089,951 9,269,854 4,634,927 13,904,782 6,952,391 20,857,174 10,428,587 31,285,762 15,642,881 46,928,644 23,464,322 11,732,161 35,196,484 17,598,242 8,799,121 26,397,364 13,198,682 6,599,341 19,798,024 9,899,012 4,949,506 2,474,753 7,424,260 3,712,130 1,856,065 5,568,196 2,784,098 1,392,049 4,176,148 2,088,074 1,044,037 3,132,112 1,566,056 783,028 391,514 195,757 587,272 293,636 146,818 73,409 220,228

More profiles

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