λ
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2,825,152

26 × 11 × 4013
Abundant Even Composite

2,825,152 factors as 2^6 × 11 × 4013. Its 28 positive divisors give a proper-divisor sum of 3,292,184, so this integer is abundant. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2^6 × 11 × 4013
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 6,117,336
Proper Divisor Sum 3,292,184
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2825149 ← → #2825153

Radix Representation

Decimal 2825152
Binary 1010110001101111000000 (22 bits)
Octal 0o12615700
Hexadecimal 0x2B1BC0

Divisor Catalog (28)

1 2 4 8 11 16 22 32 44 64 88 176 352 704 4,013 8,026 16,052 32,104 44,143 64,208 88,286 128,416 176,572 256,832 353,144 706,288 1,412,576 2,825,152

Collatz Trajectory (151 steps to reach 1)

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

2,825,152 1,412,576 706,288 353,144 176,572 88,286 44,143 132,430 66,215 198,646 99,323 297,970 148,985 446,956 223,478 111,739 335,218 167,609 502,828 251,414 125,707 377,122 188,561 565,684 282,842 141,421 424,264 212,132 106,066 53,033 159,100 79,550 39,775 119,326 59,663 178,990 89,495 268,486 134,243 402,730 201,365 604,096 302,048 151,024 75,512 37,756 18,878 9,439 28,318 14,159 42,478 21,239 63,718 31,859 95,578 47,789 143,368 71,684 35,842 17,921

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