λ
Math Directory

3,925,897

3925897
Deficient Odd Prime

3,925,897 factors as 3925897. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 3925897
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,925,898
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #3925877 ← → #3925903

Radix Representation

Decimal 3925897
Binary 1110111110011110001001 (22 bits)
Octal 0o16763611
Hexadecimal 0x3BE789

Divisor Catalog (2)

1 3,925,897

Collatz Trajectory (79 steps to reach 1)

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

3,925,897 11,777,692 5,888,846 2,944,423 8,833,270 4,416,635 13,249,906 6,624,953 19,874,860 9,937,430 4,968,715 14,906,146 7,453,073 22,359,220 11,179,610 5,589,805 16,769,416 8,384,708 4,192,354 2,096,177 6,288,532 3,144,266 1,572,133 4,716,400 2,358,200 1,179,100 589,550 294,775 884,326 442,163 1,326,490 663,245 1,989,736 994,868 497,434 248,717 746,152 373,076 186,538 93,269 279,808 139,904 69,952 34,976 17,488 8,744 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116

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