λ
Sigma Notebook

8,706,971

7 × 13 × 163 × 587
Deficient Odd Composite

8,706,971 is odd and not a perfect square. Its factorization is 7 × 13 × 163 × 587 and its 16 divisors sum to 10,800,384.

Prime Factor Structure

Factorization String 7 × 13 × 163 × 587
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,800,384
Proper Divisor Sum 2,093,413
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8706967 ← → #8706979

Radix Representation

Decimal 8706971
Binary 100001001101101110011011 (24 bits)
Octal 0o41155633
Hexadecimal 0x84DB9B

Divisor Catalog (16)

1 7 13 91 163 587 1,141 2,119 4,109 7,631 14,833 53,417 95,681 669,767 1,243,853 8,706,971

Collatz Trajectory (119 steps to reach 1)

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

8,706,971 26,120,914 13,060,457 39,181,372 19,590,686 9,795,343 29,386,030 14,693,015 44,079,046 22,039,523 66,118,570 33,059,285 99,177,856 49,588,928 24,794,464 12,397,232 6,198,616 3,099,308 1,549,654 774,827 2,324,482 1,162,241 3,486,724 1,743,362 871,681 2,615,044 1,307,522 653,761 1,961,284 980,642 490,321 1,470,964 735,482 367,741 1,103,224 551,612 275,806 137,903 413,710 206,855 620,566 310,283 930,850 465,425 1,396,276 698,138 349,069 1,047,208 523,604 261,802 130,901 392,704 196,352 98,176 49,088 24,544 12,272 6,136 3,068 1,534

More profiles

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