λ
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Atlas › Integer Profiles › Node 3,825,152

3,825,152

29 × 31 × 241
Abundant Even Composite

3,825,152 factors as 2^9 × 31 × 241. Its 40 positive divisors give a proper-divisor sum of 4,096,960, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^9 × 31 × 241
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,922,112
Proper Divisor Sum 4,096,960
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3825109 ← → #3825167

Radix Representation

Decimal 3825152
Binary 1110100101111000000000 (22 bits)
Octal 0o16457000
Hexadecimal 0x3A5E00

Divisor Catalog (40)

1 2 4 8 16 31 32 62 64 124 128 241 248 256 482 496 512 964 992 1,928 1,984 3,856 3,968 7,471 7,712 7,936 14,942 15,424 15,872 29,884 30,848 59,768 61,696 119,536 123,392 239,072 478,144 956,288 1,912,576 3,825,152

Collatz Trajectory (79 steps to reach 1)

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

3,825,152 1,912,576 956,288 478,144 239,072 119,536 59,768 29,884 14,942 7,471 22,414 11,207 33,622 16,811 50,434 25,217 75,652 37,826 18,913 56,740 28,370 14,185 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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