λ
Sigma Notebook

8,381,165

5 × 13 × 128941
Deficient Odd Composite

8,381,165 is odd and not a perfect square. Its factorization is 5 × 13 × 128941 and its 8 divisors sum to 10,831,128.

Prime Factor Structure

Factorization String 5 × 13 × 128941
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,831,128
Proper Divisor Sum 2,449,963
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8381161 ← → #8381183

Radix Representation

Decimal 8381165
Binary 11111111110001011101101 (23 bits)
Octal 0o37761355
Hexadecimal 0x7FE2ED

Divisor Catalog (8)

1 5 13 65 128,941 644,705 1,676,233 8,381,165

Collatz Trajectory (305 steps to reach 1)

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

8,381,165 25,143,496 12,571,748 6,285,874 3,142,937 9,428,812 4,714,406 2,357,203 7,071,610 3,535,805 10,607,416 5,303,708 2,651,854 1,325,927 3,977,782 1,988,891 5,966,674 2,983,337 8,950,012 4,475,006 2,237,503 6,712,510 3,356,255 10,068,766 5,034,383 15,103,150 7,551,575 22,654,726 11,327,363 33,982,090 16,991,045 50,973,136 25,486,568 12,743,284 6,371,642 3,185,821 9,557,464 4,778,732 2,389,366 1,194,683 3,584,050 1,792,025 5,376,076 2,688,038 1,344,019 4,032,058 2,016,029 6,048,088 3,024,044 1,512,022 756,011 2,268,034 1,134,017 3,402,052 1,701,026 850,513 2,551,540 1,275,770 637,885 1,913,656

More profiles

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