λ
Prime Ledger

8,090,727

3 × 2696909
Deficient Odd Composite

8,090,727 has the prime decomposition 3 × 2696909. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2696909
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,787,640
Proper Divisor Sum 2,696,913
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8090717 ← → #8090741

Radix Representation

Decimal 8090727
Binary 11110110111010001100111 (23 bits)
Octal 0o36672147
Hexadecimal 0x7B7467

Divisor Catalog (4)

1 3 2,696,909 8,090,727

Collatz Trajectory (111 steps to reach 1)

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

8,090,727 24,272,182 12,136,091 36,408,274 18,204,137 54,612,412 27,306,206 13,653,103 40,959,310 20,479,655 61,438,966 30,719,483 92,158,450 46,079,225 138,237,676 69,118,838 34,559,419 103,678,258 51,839,129 155,517,388 77,758,694 38,879,347 116,638,042 58,319,021 174,957,064 87,478,532 43,739,266 21,869,633 65,608,900 32,804,450 16,402,225 49,206,676 24,603,338 12,301,669 36,905,008 18,452,504 9,226,252 4,613,126 2,306,563 6,919,690 3,459,845 10,379,536 5,189,768 2,594,884 1,297,442 648,721 1,946,164 973,082 486,541 1,459,624 729,812 364,906 182,453 547,360 273,680 136,840 68,420 34,210 17,105 51,316

More profiles

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