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Atlas › Integer Profiles › Node 31,857,088

31,857,088

26 × 31 × 16057
Abundant Even Composite

31,857,088 factors as 2^6 × 31 × 16057. Its 28 positive divisors give a proper-divisor sum of 33,402,624, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^6 × 31 × 16057
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 65,259,712
Proper Divisor Sum 33,402,624
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #31857079 ← → #31857097

Radix Representation

Decimal 31857088
Binary 1111001100001100111000000 (25 bits)
Octal 0o171414700
Hexadecimal 0x1E619C0

Divisor Catalog (28)

1 2 4 8 16 31 32 62 64 124 248 496 992 1,984 16,057 32,114 64,228 128,456 256,912 497,767 513,824 995,534 1,027,648 1,991,068 3,982,136 7,964,272 15,928,544 31,857,088

Collatz Trajectory (95 steps to reach 1)

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

31,857,088 15,928,544 7,964,272 3,982,136 1,991,068 995,534 497,767 1,493,302 746,651 2,239,954 1,119,977 3,359,932 1,679,966 839,983 2,519,950 1,259,975 3,779,926 1,889,963 5,669,890 2,834,945 8,504,836 4,252,418 2,126,209 6,378,628 3,189,314 1,594,657 4,783,972 2,391,986 1,195,993 3,587,980 1,793,990 896,995 2,690,986 1,345,493 4,036,480 2,018,240 1,009,120 504,560 252,280 126,140 63,070 31,535 94,606 47,303 141,910 70,955 212,866 106,433 319,300 159,650 79,825 239,476 119,738 59,869 179,608 89,804 44,902 22,451 67,354 33,677

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