λ
Prime Ledger

8,230,731

3 × 2743577
Deficient Odd Composite

8,230,731 has the prime decomposition 3 × 2743577. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2743577
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,974,312
Proper Divisor Sum 2,743,581
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8230727 ← → #8230753

Radix Representation

Decimal 8230731
Binary 11111011001011101001011 (23 bits)
Octal 0o37313513
Hexadecimal 0x7D974B

Divisor Catalog (4)

1 3 2,743,577 8,230,731

Collatz Trajectory (137 steps to reach 1)

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

8,230,731 24,692,194 12,346,097 37,038,292 18,519,146 9,259,573 27,778,720 13,889,360 6,944,680 3,472,340 1,736,170 868,085 2,604,256 1,302,128 651,064 325,532 162,766 81,383 244,150 122,075 366,226 183,113 549,340 274,670 137,335 412,006 206,003 618,010 309,005 927,016 463,508 231,754 115,877 347,632 173,816 86,908 43,454 21,727 65,182 32,591 97,774 48,887 146,662 73,331 219,994 109,997 329,992 164,996 82,498 41,249 123,748 61,874 30,937 92,812 46,406 23,203 69,610 34,805 104,416 52,208

More profiles

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