λ
Ratio Atlas

8,284,841

8284841
Deficient Odd Prime

8,284,841 factors as 8284841. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 261 steps.

Prime Factor Structure

Factorization String 8284841
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,284,842
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8284823 ← → #8284849

Radix Representation

Decimal 8284841
Binary 11111100110101010101001 (23 bits)
Octal 0o37465251
Hexadecimal 0x7E6AA9

Divisor Catalog (2)

Collatz Trajectory (261 steps to reach 1)

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

8,284,841 24,854,524 12,427,262 6,213,631 18,640,894 9,320,447 27,961,342 13,980,671 41,942,014 20,971,007 62,913,022 31,456,511 94,369,534 47,184,767 141,554,302 70,777,151 212,331,454 106,165,727 318,497,182 159,248,591 477,745,774 238,872,887 716,618,662 358,309,331 1,074,927,994 537,463,997 1,612,391,992 806,195,996 403,097,998 201,548,999 604,646,998 302,323,499 906,970,498 453,485,249 1,360,455,748 680,227,874 340,113,937 1,020,341,812 510,170,906 255,085,453 765,256,360 382,628,180 191,314,090 95,657,045 286,971,136 143,485,568 71,742,784 35,871,392 17,935,696 8,967,848 4,483,924 2,241,962 1,120,981 3,362,944 1,681,472 840,736 420,368 210,184 105,092 52,546

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