λ
Prime Ledger

3,825,713

3825713
Deficient Odd Prime

3,825,713 has the prime decomposition 3825713. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 3825713
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,825,714
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3825691 ← → #3825721

Radix Representation

Decimal 3825713
Binary 1110100110000000110001 (22 bits)
Octal 0o16460061
Hexadecimal 0x3A6031

Divisor Catalog (2)

1 3,825,713

Collatz Trajectory (79 steps to reach 1)

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

3,825,713 11,477,140 5,738,570 2,869,285 8,607,856 4,303,928 2,151,964 1,075,982 537,991 1,613,974 806,987 2,420,962 1,210,481 3,631,444 1,815,722 907,861 2,723,584 1,361,792 680,896 340,448 170,224 85,112 42,556 21,278 10,639 31,918 15,959 47,878 23,939 71,818 35,909 107,728 53,864 26,932 13,466 6,733 20,200 10,100 5,050 2,525 7,576 3,788 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19

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