λ
Prime Ledger

8,165,309

8165309
Deficient Odd Prime

8,165,309 has the prime decomposition 8165309. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 8165309
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,165,310
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8165303 ← → #8165317

Radix Representation

Decimal 8165309
Binary 11111001001011110111101 (23 bits)
Octal 0o37113675
Hexadecimal 0x7C97BD

Divisor Catalog (2)

Collatz Trajectory (186 steps to reach 1)

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

8,165,309 24,495,928 12,247,964 6,123,982 3,061,991 9,185,974 4,592,987 13,778,962 6,889,481 20,668,444 10,334,222 5,167,111 15,501,334 7,750,667 23,252,002 11,626,001 34,878,004 17,439,002 8,719,501 26,158,504 13,079,252 6,539,626 3,269,813 9,809,440 4,904,720 2,452,360 1,226,180 613,090 306,545 919,636 459,818 229,909 689,728 344,864 172,432 86,216 43,108 21,554 10,777 32,332 16,166 8,083 24,250 12,125 36,376 18,188 9,094 4,547 13,642 6,821 20,464 10,232 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638

More profiles

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