λ
Sigma Notebook

9,702,993

3 × 43 × 75217
Deficient Odd Composite

9,702,993 is odd and not a perfect square. Its factorization is 3 × 43 × 75217 and its 8 divisors sum to 13,238,368.

Prime Factor Structure

Factorization String 3 × 43 × 75217
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,238,368
Proper Divisor Sum 3,535,375
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9702983 ← → #9703013

Radix Representation

Decimal 9702993
Binary 100101000000111001010001 (24 bits)
Octal 0o45007121
Hexadecimal 0x940E51

Divisor Catalog (8)

1 3 43 129 75,217 225,651 3,234,331 9,702,993

Collatz Trajectory (207 steps to reach 1)

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

9,702,993 29,108,980 14,554,490 7,277,245 21,831,736 10,915,868 5,457,934 2,728,967 8,186,902 4,093,451 12,280,354 6,140,177 18,420,532 9,210,266 4,605,133 13,815,400 6,907,700 3,453,850 1,726,925 5,180,776 2,590,388 1,295,194 647,597 1,942,792 971,396 485,698 242,849 728,548 364,274 182,137 546,412 273,206 136,603 409,810 204,905 614,716 307,358 153,679 461,038 230,519 691,558 345,779 1,037,338 518,669 1,556,008 778,004 389,002 194,501 583,504 291,752 145,876 72,938 36,469 109,408 54,704 27,352 13,676 6,838 3,419 10,258

More profiles

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