λ
Sigma Notebook

8,682,830

2 × 5 × 13 × 66791
Deficient Even Composite

8,682,830 is even and not a perfect square. Its factorization is 2 × 5 × 13 × 66791 and its 16 divisors sum to 16,831,584.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 66791
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,831,584
Proper Divisor Sum 8,148,754
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8682763 ← → #8682841

Radix Representation

Decimal 8682830
Binary 100001000111110101001110 (24 bits)
Octal 0o41076516
Hexadecimal 0x847D4E

Divisor Catalog (16)

1 2 5 10 13 26 65 130 66,791 133,582 333,955 667,910 868,283 1,736,566 4,341,415 8,682,830

Collatz Trajectory (181 steps to reach 1)

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

8,682,830 4,341,415 13,024,246 6,512,123 19,536,370 9,768,185 29,304,556 14,652,278 7,326,139 21,978,418 10,989,209 32,967,628 16,483,814 8,241,907 24,725,722 12,362,861 37,088,584 18,544,292 9,272,146 4,636,073 13,908,220 6,954,110 3,477,055 10,431,166 5,215,583 15,646,750 7,823,375 23,470,126 11,735,063 35,205,190 17,602,595 52,807,786 26,403,893 79,211,680 39,605,840 19,802,920 9,901,460 4,950,730 2,475,365 7,426,096 3,713,048 1,856,524 928,262 464,131 1,392,394 696,197 2,088,592 1,044,296 522,148 261,074 130,537 391,612 195,806 97,903 293,710 146,855 440,566 220,283 660,850 330,425

More profiles

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