λ
Harmonic Matrix

8,711,871

3 × 7 × 17 × 23 × 1061
Deficient Odd Composite

8,711,871 has digital root 6. The neighboring primes are 8711869 and 8711887; its proper-divisor sum differs from the starting integer by -2,742,654.

Prime Factor Structure

Factorization String 3 × 7 × 17 × 23 × 1061
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,681,088
Proper Divisor Sum 5,969,217
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8711869 ← → #8711887

Radix Representation

Decimal 8711871
Binary 100001001110111010111111 (24 bits)
Octal 0o41167277
Hexadecimal 0x84EEBF

Divisor Catalog (32)

1 3 7 17 21 23 51 69 119 161 357 391 483 1,061 1,173 2,737 3,183 7,427 8,211 18,037 22,281 24,403 54,111 73,209 126,259 170,821 378,777 414,851 512,463 1,244,553 2,903,957 8,711,871

Collatz Trajectory (119 steps to reach 1)

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

8,711,871 26,135,614 13,067,807 39,203,422 19,601,711 58,805,134 29,402,567 88,207,702 44,103,851 132,311,554 66,155,777 198,467,332 99,233,666 49,616,833 148,850,500 74,425,250 37,212,625 111,637,876 55,818,938 27,909,469 83,728,408 41,864,204 20,932,102 10,466,051 31,398,154 15,699,077 47,097,232 23,548,616 11,774,308 5,887,154 2,943,577 8,830,732 4,415,366 2,207,683 6,623,050 3,311,525 9,934,576 4,967,288 2,483,644 1,241,822 620,911 1,862,734 931,367 2,794,102 1,397,051 4,191,154 2,095,577 6,286,732 3,143,366 1,571,683 4,715,050 2,357,525 7,072,576 3,536,288 1,768,144 884,072 442,036 221,018 110,509 331,528

More profiles

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