λ
Integer Codex

8,106,079

8106079
Deficient Odd Prime

For 8,106,079, the 2 positive divisors have a total of 8,106,080. Removing 8,106,079 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8106079
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,106,080
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8106073 ← → #8106083

Radix Representation

Decimal 8106079
Binary 11110111011000001011111 (23 bits)
Octal 0o36730137
Hexadecimal 0x7BB05F

Divisor Catalog (2)

Collatz Trajectory (535 steps to reach 1)

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

8,106,079 24,318,238 12,159,119 36,477,358 18,238,679 54,716,038 27,358,019 82,074,058 41,037,029 123,111,088 61,555,544 30,777,772 15,388,886 7,694,443 23,083,330 11,541,665 34,624,996 17,312,498 8,656,249 25,968,748 12,984,374 6,492,187 19,476,562 9,738,281 29,214,844 14,607,422 7,303,711 21,911,134 10,955,567 32,866,702 16,433,351 49,300,054 24,650,027 73,950,082 36,975,041 110,925,124 55,462,562 27,731,281 83,193,844 41,596,922 20,798,461 62,395,384 31,197,692 15,598,846 7,799,423 23,398,270 11,699,135 35,097,406 17,548,703 52,646,110 26,323,055 78,969,166 39,484,583 118,453,750 59,226,875 177,680,626 88,840,313 266,520,940 133,260,470 66,630,235

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