λ
Sigma Notebook

9,705,051

32 × 499 × 2161
Deficient Odd Composite

9,705,051 is odd and not a perfect square. Its factorization is 3^2 × 499 × 2161 and its 12 divisors sum to 14,053,000.

Prime Factor Structure

Factorization String 3^2 × 499 × 2161
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,053,000
Proper Divisor Sum 4,347,949
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9705043 ← → #9705083

Radix Representation

Decimal 9705051
Binary 100101000001011001011011 (24 bits)
Octal 0o45013133
Hexadecimal 0x94165B

Divisor Catalog (12)

1 3 9 499 1,497 2,161 4,491 6,483 19,449 1,078,339 3,235,017 9,705,051

Collatz Trajectory (114 steps to reach 1)

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

9,705,051 29,115,154 14,557,577 43,672,732 21,836,366 10,918,183 32,754,550 16,377,275 49,131,826 24,565,913 73,697,740 36,848,870 18,424,435 55,273,306 27,636,653 82,909,960 41,454,980 20,727,490 10,363,745 31,091,236 15,545,618 7,772,809 23,318,428 11,659,214 5,829,607 17,488,822 8,744,411 26,233,234 13,116,617 39,349,852 19,674,926 9,837,463 29,512,390 14,756,195 44,268,586 22,134,293 66,402,880 33,201,440 16,600,720 8,300,360 4,150,180 2,075,090 1,037,545 3,112,636 1,556,318 778,159 2,334,478 1,167,239 3,501,718 1,750,859 5,252,578 2,626,289 7,878,868 3,939,434 1,969,717 5,909,152 2,954,576 1,477,288 738,644 369,322

More profiles

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