λ
Sigma Notebook

9,847,733

7 × 29 × 139 × 349
Deficient Odd Composite

9,847,733 is odd and not a perfect square. Its factorization is 7 × 29 × 139 × 349 and its 16 divisors sum to 11,760,000.

Prime Factor Structure

Factorization String 7 × 29 × 139 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,760,000
Proper Divisor Sum 1,912,267
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9847723 ← → #9847741

Radix Representation

Decimal 9847733
Binary 100101100100001110110101 (24 bits)
Octal 0o45441665
Hexadecimal 0x9643B5

Divisor Catalog (16)

1 7 29 139 203 349 973 2,443 4,031 10,121 28,217 48,511 70,847 339,577 1,406,819 9,847,733

Collatz Trajectory (163 steps to reach 1)

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

9,847,733 29,543,200 14,771,600 7,385,800 3,692,900 1,846,450 923,225 2,769,676 1,384,838 692,419 2,077,258 1,038,629 3,115,888 1,557,944 778,972 389,486 194,743 584,230 292,115 876,346 438,173 1,314,520 657,260 328,630 164,315 492,946 246,473 739,420 369,710 184,855 554,566 277,283 831,850 415,925 1,247,776 623,888 311,944 155,972 77,986 38,993 116,980 58,490 29,245 87,736 43,868 21,934 10,967 32,902 16,451 49,354 24,677 74,032 37,016 18,508 9,254 4,627 13,882 6,941 20,824 10,412

More profiles

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