λ
Sigma Notebook

9,700,729

672 × 2161
Deficient Odd Composite

9,700,729 is odd and not a perfect square. Its factorization is 67^2 × 2161 and its 6 divisors sum to 9,852,234.

Prime Factor Structure

Factorization String 67^2 × 2161
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 9,852,234
Proper Divisor Sum 151,505
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9700709 ← → #9700777

Radix Representation

Decimal 9700729
Binary 100101000000010101111001 (24 bits)
Octal 0o45002571
Hexadecimal 0x940579

Divisor Catalog (6)

1 67 2,161 4,489 144,787 9,700,729

Collatz Trajectory (176 steps to reach 1)

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

9,700,729 29,102,188 14,551,094 7,275,547 21,826,642 10,913,321 32,739,964 16,369,982 8,184,991 24,554,974 12,277,487 36,832,462 18,416,231 55,248,694 27,624,347 82,873,042 41,436,521 124,309,564 62,154,782 31,077,391 93,232,174 46,616,087 139,848,262 69,924,131 209,772,394 104,886,197 314,658,592 157,329,296 78,664,648 39,332,324 19,666,162 9,833,081 29,499,244 14,749,622 7,374,811 22,124,434 11,062,217 33,186,652 16,593,326 8,296,663 24,889,990 12,444,995 37,334,986 18,667,493 56,002,480 28,001,240 14,000,620 7,000,310 3,500,155 10,500,466 5,250,233 15,750,700 7,875,350 3,937,675 11,813,026 5,906,513 17,719,540 8,859,770 4,429,885 13,289,656

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