λ
Sigma Notebook

9,210,669

3 × 132 × 37 × 491
Deficient Odd Composite

9,210,669 is odd and not a perfect square. Its factorization is 3 × 13^2 × 37 × 491 and its 24 divisors sum to 13,685,472.

Prime Factor Structure

Factorization String 3 × 13^2 × 37 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,685,472
Proper Divisor Sum 4,474,803
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9210653 ← → #9210673

Radix Representation

Decimal 9210669
Binary 100011001000101100101101 (24 bits)
Octal 0o43105455
Hexadecimal 0x8C8B2D

Divisor Catalog (24)

1 3 13 37 39 111 169 481 491 507 1,443 1,473 6,253 6,383 18,167 18,759 19,149 54,501 82,979 236,171 248,937 708,513 3,070,223 9,210,669

Collatz Trajectory (194 steps to reach 1)

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

9,210,669 27,632,008 13,816,004 6,908,002 3,454,001 10,362,004 5,181,002 2,590,501 7,771,504 3,885,752 1,942,876 971,438 485,719 1,457,158 728,579 2,185,738 1,092,869 3,278,608 1,639,304 819,652 409,826 204,913 614,740 307,370 153,685 461,056 230,528 115,264 57,632 28,816 14,408 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625

More profiles

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