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Atlas › Integer Profiles › Node 31,054,912

31,054,912

26 × 7 × 103 × 673
Abundant Even Composite

31,054,912 factors as 2^6 × 7 × 103 × 673. Its 56 positive divisors give a proper-divisor sum of 40,162,624, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 103 × 673
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 71,217,536
Proper Divisor Sum 40,162,624
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #31054897 ← → #31054957

Radix Representation

Decimal 31054912
Binary 1110110011101110001000000 (25 bits)
Octal 0o166356100
Hexadecimal 0x1D9DC40

Divisor Catalog (56)

1 2 4 7 8 14 16 28 32 56 64 103 112 206 224 412 448 673 721 824 1,346 1,442 1,648 2,692 2,884 3,296 4,711 5,384 5,768 6,592 9,422 10,768 11,536 18,844 21,536 23,072 37,688 43,072 46,144 69,319 75,376 138,638 150,752 277,276 301,504 485,233 554,552 970,466 1,109,104 1,940,932 2,218,208 3,881,864 4,436,416 7,763,728 15,527,456 31,054,912

Collatz Trajectory (95 steps to reach 1)

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

31,054,912 15,527,456 7,763,728 3,881,864 1,940,932 970,466 485,233 1,455,700 727,850 363,925 1,091,776 545,888 272,944 136,472 68,236 34,118 17,059 51,178 25,589 76,768 38,384 19,192 9,596 4,798 2,399 7,198 3,599 10,798 5,399 16,198 8,099 24,298 12,149 36,448 18,224 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917

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