λ
Sigma Notebook

9,712,707

3 × 97 × 33377
Deficient Odd Composite

9,712,707 is odd and not a perfect square. Its factorization is 3 × 97 × 33377 and its 8 divisors sum to 13,084,176.

Prime Factor Structure

Factorization String 3 × 97 × 33377
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,084,176
Proper Divisor Sum 3,371,469
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9712699 ← → #9712751

Radix Representation

Decimal 9712707
Binary 100101000011010001000011 (24 bits)
Octal 0o45032103
Hexadecimal 0x943443

Divisor Catalog (8)

1 3 97 291 33,377 100,131 3,237,569 9,712,707

Collatz Trajectory (207 steps to reach 1)

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

9,712,707 29,138,122 14,569,061 43,707,184 21,853,592 10,926,796 5,463,398 2,731,699 8,195,098 4,097,549 12,292,648 6,146,324 3,073,162 1,536,581 4,609,744 2,304,872 1,152,436 576,218 288,109 864,328 432,164 216,082 108,041 324,124 162,062 81,031 243,094 121,547 364,642 182,321 546,964 273,482 136,741 410,224 205,112 102,556 51,278 25,639 76,918 38,459 115,378 57,689 173,068 86,534 43,267 129,802 64,901 194,704 97,352 48,676 24,338 12,169 36,508 18,254 9,127 27,382 13,691 41,074 20,537 61,612

More profiles

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