λ
Sigma Notebook

8,210,859

3 × 107 × 25579
Deficient Odd Composite

8,210,859 is odd and not a perfect square. Its factorization is 3 × 107 × 25579 and its 8 divisors sum to 11,050,560.

Prime Factor Structure

Factorization String 3 × 107 × 25579
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,050,560
Proper Divisor Sum 2,839,701
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8210837 ← → #8210887

Radix Representation

Decimal 8210859
Binary 11111010100100110101011 (23 bits)
Octal 0o37244653
Hexadecimal 0x7D49AB

Divisor Catalog (8)

1 3 107 321 25,579 76,737 2,736,953 8,210,859

Collatz Trajectory (191 steps to reach 1)

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

8,210,859 24,632,578 12,316,289 36,948,868 18,474,434 9,237,217 27,711,652 13,855,826 6,927,913 20,783,740 10,391,870 5,195,935 15,587,806 7,793,903 23,381,710 11,690,855 35,072,566 17,536,283 52,608,850 26,304,425 78,913,276 39,456,638 19,728,319 59,184,958 29,592,479 88,777,438 44,388,719 133,166,158 66,583,079 199,749,238 99,874,619 299,623,858 149,811,929 449,435,788 224,717,894 112,358,947 337,076,842 168,538,421 505,615,264 252,807,632 126,403,816 63,201,908 31,600,954 15,800,477 47,401,432 23,700,716 11,850,358 5,925,179 17,775,538 8,887,769 26,663,308 13,331,654 6,665,827 19,997,482 9,998,741 29,996,224 14,998,112 7,499,056 3,749,528 1,874,764

More profiles

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