λ
Sigma Notebook

8,376,765

3 × 5 × 79 × 7069
Deficient Odd Composite

8,376,765 is odd and not a perfect square. Its factorization is 3 × 5 × 79 × 7069 and its 16 divisors sum to 13,574,400.

Prime Factor Structure

Factorization String 3 × 5 × 79 × 7069
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,574,400
Proper Divisor Sum 5,197,635
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8376749 ← → #8376773

Radix Representation

Decimal 8376765
Binary 11111111101000110111101 (23 bits)
Octal 0o37750675
Hexadecimal 0x7FD1BD

Divisor Catalog (16)

1 3 5 15 79 237 395 1,185 7,069 21,207 35,345 106,035 558,451 1,675,353 2,792,255 8,376,765

Collatz Trajectory (217 steps to reach 1)

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

8,376,765 25,130,296 12,565,148 6,282,574 3,141,287 9,423,862 4,711,931 14,135,794 7,067,897 21,203,692 10,601,846 5,300,923 15,902,770 7,951,385 23,854,156 11,927,078 5,963,539 17,890,618 8,945,309 26,835,928 13,417,964 6,708,982 3,354,491 10,063,474 5,031,737 15,095,212 7,547,606 3,773,803 11,321,410 5,660,705 16,982,116 8,491,058 4,245,529 12,736,588 6,368,294 3,184,147 9,552,442 4,776,221 14,328,664 7,164,332 3,582,166 1,791,083 5,373,250 2,686,625 8,059,876 4,029,938 2,014,969 6,044,908 3,022,454 1,511,227 4,533,682 2,266,841 6,800,524 3,400,262 1,700,131 5,100,394 2,550,197 7,650,592 3,825,296 1,912,648

More profiles

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