λ
Sigma Notebook

7,701,811

13 × 389 × 1523
Deficient Odd Composite

7,701,811 is odd and not a perfect square. Its factorization is 13 × 389 × 1523 and its 8 divisors sum to 8,321,040.

Prime Factor Structure

Factorization String 13 × 389 × 1523
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,321,040
Proper Divisor Sum 619,229
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7701797 ← → #7701817

Radix Representation

Decimal 7701811
Binary 11101011000010100110011 (23 bits)
Octal 0o35302463
Hexadecimal 0x758533

Divisor Catalog (8)

1 13 389 1,523 5,057 19,799 592,447 7,701,811

Collatz Trajectory (155 steps to reach 1)

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

7,701,811 23,105,434 11,552,717 34,658,152 17,329,076 8,664,538 4,332,269 12,996,808 6,498,404 3,249,202 1,624,601 4,873,804 2,436,902 1,218,451 3,655,354 1,827,677 5,483,032 2,741,516 1,370,758 685,379 2,056,138 1,028,069 3,084,208 1,542,104 771,052 385,526 192,763 578,290 289,145 867,436 433,718 216,859 650,578 325,289 975,868 487,934 243,967 731,902 365,951 1,097,854 548,927 1,646,782 823,391 2,470,174 1,235,087 3,705,262 1,852,631 5,557,894 2,778,947 8,336,842 4,168,421 12,505,264 6,252,632 3,126,316 1,563,158 781,579 2,344,738 1,172,369 3,517,108 1,758,554

More profiles

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