λ
Sigma Notebook

970,991

7 × 23 × 37 × 163
Deficient Odd Composite

970,991 is odd and not a perfect square. Its factorization is 7 × 23 × 37 × 163 and its 16 divisors sum to 1,196,544.

Prime Factor Structure

Factorization String 7 × 23 × 37 × 163
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,196,544
Proper Divisor Sum 225,553
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #970987 ← → #970997

Radix Representation

Decimal 970991
Binary 11101101000011101111 (20 bits)
Octal 0o3550357
Hexadecimal 0xED0EF

Divisor Catalog (16)

1 7 23 37 161 163 259 851 1,141 3,749 5,957 6,031 26,243 42,217 138,713 970,991

Collatz Trajectory (307 steps to reach 1)

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

970,991 2,912,974 1,456,487 4,369,462 2,184,731 6,554,194 3,277,097 9,831,292 4,915,646 2,457,823 7,373,470 3,686,735 11,060,206 5,530,103 16,590,310 8,295,155 24,885,466 12,442,733 37,328,200 18,664,100 9,332,050 4,666,025 13,998,076 6,999,038 3,499,519 10,498,558 5,249,279 15,747,838 7,873,919 23,621,758 11,810,879 35,432,638 17,716,319 53,148,958 26,574,479 79,723,438 39,861,719 119,585,158 59,792,579 179,377,738 89,688,869 269,066,608 134,533,304 67,266,652 33,633,326 16,816,663 50,449,990 25,224,995 75,674,986 37,837,493 113,512,480 56,756,240 28,378,120 14,189,060 7,094,530 3,547,265 10,641,796 5,320,898 2,660,449 7,981,348

More profiles

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