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Atlas › Integer Profiles › Node 31,445,874

31,445,874

2 × 33 × 19 × 30649
Abundant Even Composite

31,445,874 factors as 2 × 3^3 × 19 × 30649. Its 32 positive divisors give a proper-divisor sum of 42,114,126, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 19 × 30649
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 73,560,000
Proper Divisor Sum 42,114,126
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #31445863 ← → #31445891

Radix Representation

Decimal 31445874
Binary 1110111111101001101110010 (25 bits)
Octal 0o167751562
Hexadecimal 0x1DFD372

Divisor Catalog (32)

1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1,026 30,649 61,298 91,947 183,894 275,841 551,682 582,331 827,523 1,164,662 1,655,046 1,746,993 3,493,986 5,240,979 10,481,958 15,722,937 31,445,874

Collatz Trajectory (144 steps to reach 1)

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

31,445,874 15,722,937 47,168,812 23,584,406 11,792,203 35,376,610 17,688,305 53,064,916 26,532,458 13,266,229 39,798,688 19,899,344 9,949,672 4,974,836 2,487,418 1,243,709 3,731,128 1,865,564 932,782 466,391 1,399,174 699,587 2,098,762 1,049,381 3,148,144 1,574,072 787,036 393,518 196,759 590,278 295,139 885,418 442,709 1,328,128 664,064 332,032 166,016 83,008 41,504 20,752 10,376 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155

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