λ
Prime Ledger

3,967,193

3967193
Deficient Odd Prime

3,967,193 has the prime decomposition 3967193. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 3967193
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,967,194
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3967189 ← → #3967207

Radix Representation

Decimal 3967193
Binary 1111001000100011011001 (22 bits)
Octal 0o17104331
Hexadecimal 0x3C88D9

Divisor Catalog (2)

Collatz Trajectory (172 steps to reach 1)

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

3,967,193 11,901,580 5,950,790 2,975,395 8,926,186 4,463,093 13,389,280 6,694,640 3,347,320 1,673,660 836,830 418,415 1,255,246 627,623 1,882,870 941,435 2,824,306 1,412,153 4,236,460 2,118,230 1,059,115 3,177,346 1,588,673 4,766,020 2,383,010 1,191,505 3,574,516 1,787,258 893,629 2,680,888 1,340,444 670,222 335,111 1,005,334 502,667 1,508,002 754,001 2,262,004 1,131,002 565,501 1,696,504 848,252 424,126 212,063 636,190 318,095 954,286 477,143 1,431,430 715,715 2,147,146 1,073,573 3,220,720 1,610,360 805,180 402,590 201,295 603,886 301,943 905,830

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