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Atlas › Integer Profiles › Node 3,111,152

3,111,152

24 × 112 × 1607
Abundant Even Composite

3,111,152 factors as 2^4 × 11^2 × 1607. Its 30 positive divisors give a proper-divisor sum of 3,518,632, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^4 × 11^2 × 1607
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 6,629,784
Proper Divisor Sum 3,518,632
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #3111151 ← → #3111161

Radix Representation

Decimal 3111152
Binary 1011110111100011110000 (22 bits)
Octal 0o13674360
Hexadecimal 0x2F78F0

Divisor Catalog (30)

1 2 4 8 11 16 22 44 88 121 176 242 484 968 1,607 1,936 3,214 6,428 12,856 17,677 25,712 35,354 70,708 141,416 194,447 282,832 388,894 777,788 1,555,576 3,111,152

Collatz Trajectory (133 steps to reach 1)

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

3,111,152 1,555,576 777,788 388,894 194,447 583,342 291,671 875,014 437,507 1,312,522 656,261 1,968,784 984,392 492,196 246,098 123,049 369,148 184,574 92,287 276,862 138,431 415,294 207,647 622,942 311,471 934,414 467,207 1,401,622 700,811 2,102,434 1,051,217 3,153,652 1,576,826 788,413 2,365,240 1,182,620 591,310 295,655 886,966 443,483 1,330,450 665,225 1,995,676 997,838 498,919 1,496,758 748,379 2,245,138 1,122,569 3,367,708 1,683,854 841,927 2,525,782 1,262,891 3,788,674 1,894,337 5,683,012 2,841,506 1,420,753 4,262,260

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