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Atlas › Integer Profiles › Node 2,831,092

2,831,092

22 × 11 × 372 × 47
Abundant Even Composite

2,831,092 factors as 2^2 × 11 × 37^2 × 47. Its 36 positive divisors give a proper-divisor sum of 2,841,932, so this integer is abundant. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 37^2 × 47
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,673,024
Proper Divisor Sum 2,841,932
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2831089 ← → #2831141

Radix Representation

Decimal 2831092
Binary 1010110011001011110100 (22 bits)
Octal 0o12631364
Hexadecimal 0x2B32F4

Divisor Catalog (36)

1 2 4 11 22 37 44 47 74 94 148 188 407 517 814 1,034 1,369 1,628 1,739 2,068 2,738 3,478 5,476 6,956 15,059 19,129 30,118 38,258 60,236 64,343 76,516 128,686 257,372 707,773 1,415,546 2,831,092

Collatz Trajectory (138 steps to reach 1)

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

2,831,092 1,415,546 707,773 2,123,320 1,061,660 530,830 265,415 796,246 398,123 1,194,370 597,185 1,791,556 895,778 447,889 1,343,668 671,834 335,917 1,007,752 503,876 251,938 125,969 377,908 188,954 94,477 283,432 141,716 70,858 35,429 106,288 53,144 26,572 13,286 6,643 19,930 9,965 29,896 14,948 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980

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