λ
Sigma Notebook

9,284,451

3 × 112 × 25577
Deficient Odd Composite

9,284,451 is odd and not a perfect square. Its factorization is 3 × 11^2 × 25577 and its 12 divisors sum to 13,607,496.

Prime Factor Structure

Factorization String 3 × 11^2 × 25577
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,607,496
Proper Divisor Sum 4,323,045
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9284449 ← → #9284453

Radix Representation

Decimal 9284451
Binary 100011011010101101100011 (24 bits)
Octal 0o43325543
Hexadecimal 0x8DAB63

Divisor Catalog (12)

1 3 11 33 121 363 25,577 76,731 281,347 844,041 3,094,817 9,284,451

Collatz Trajectory (132 steps to reach 1)

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

9,284,451 27,853,354 13,926,677 41,780,032 20,890,016 10,445,008 5,222,504 2,611,252 1,305,626 652,813 1,958,440 979,220 489,610 244,805 734,416 367,208 183,604 91,802 45,901 137,704 68,852 34,426 17,213 51,640 25,820 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913

More profiles

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