λ
Sigma Notebook

9,199,309

72 × 197 × 953
Deficient Odd Composite

9,199,309 is odd and not a perfect square. Its factorization is 7^2 × 197 × 953 and its 12 divisors sum to 10,766,844.

Prime Factor Structure

Factorization String 7^2 × 197 × 953
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,766,844
Proper Divisor Sum 1,567,535
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9199279 ← → #9199331

Radix Representation

Decimal 9199309
Binary 100011000101111011001101 (24 bits)
Octal 0o43057315
Hexadecimal 0x8C5ECD

Divisor Catalog (12)

1 7 49 197 953 1,379 6,671 9,653 46,697 187,741 1,314,187 9,199,309

Collatz Trajectory (194 steps to reach 1)

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

9,199,309 27,597,928 13,798,964 6,899,482 3,449,741 10,349,224 5,174,612 2,587,306 1,293,653 3,880,960 1,940,480 970,240 485,120 242,560 121,280 60,640 30,320 15,160 7,580 3,790 1,895 5,686 2,843 8,530 4,265 12,796 6,398 3,199 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325 12,976 6,488 3,244 1,622

More profiles

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