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Atlas › Integer Profiles › Node 31,915,060

31,915,060

22 × 5 × 19 × 83987
Abundant Even Composite

31,915,060 factors as 2^2 × 5 × 19 × 83987. Its 24 positive divisors give a proper-divisor sum of 38,634,860, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 83987
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 70,549,920
Proper Divisor Sum 38,634,860
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #31915057 ← → #31915087

Radix Representation

Decimal 31915060
Binary 1111001101111110000110100 (25 bits)
Octal 0o171576064
Hexadecimal 0x1E6FC34

Divisor Catalog (24)

1 2 4 5 10 19 20 38 76 95 190 380 83,987 167,974 335,948 419,935 839,870 1,595,753 1,679,740 3,191,506 6,383,012 7,978,765 15,957,530 31,915,060

Collatz Trajectory (126 steps to reach 1)

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

31,915,060 15,957,530 7,978,765 23,936,296 11,968,148 5,984,074 2,992,037 8,976,112 4,488,056 2,244,028 1,122,014 561,007 1,683,022 841,511 2,524,534 1,262,267 3,786,802 1,893,401 5,680,204 2,840,102 1,420,051 4,260,154 2,130,077 6,390,232 3,195,116 1,597,558 798,779 2,396,338 1,198,169 3,594,508 1,797,254 898,627 2,695,882 1,347,941 4,043,824 2,021,912 1,010,956 505,478 252,739 758,218 379,109 1,137,328 568,664 284,332 142,166 71,083 213,250 106,625 319,876 159,938 79,969 239,908 119,954 59,977 179,932 89,966 44,983 134,950 67,475 202,426

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