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Atlas › Integer Profiles › Node 31,323,968

31,323,968

26 × 13 × 37649
Abundant Even Composite

31,323,968 factors as 2^6 × 13 × 37649. Its 28 positive divisors give a proper-divisor sum of 35,617,732, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^6 × 13 × 37649
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 66,941,700
Proper Divisor Sum 35,617,732
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #31323961 ← → #31323983

Radix Representation

Decimal 31323968
Binary 1110111011111011101000000 (25 bits)
Octal 0o167373500
Hexadecimal 0x1DDF740

Divisor Catalog (28)

1 2 4 8 13 16 26 32 52 64 104 208 416 832 37,649 75,298 150,596 301,192 489,437 602,384 978,874 1,204,768 1,957,748 2,409,536 3,915,496 7,830,992 15,661,984 31,323,968

Collatz Trajectory (95 steps to reach 1)

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

31,323,968 15,661,984 7,830,992 3,915,496 1,957,748 978,874 489,437 1,468,312 734,156 367,078 183,539 550,618 275,309 825,928 412,964 206,482 103,241 309,724 154,862 77,431 232,294 116,147 348,442 174,221 522,664 261,332 130,666 65,333 196,000 98,000 49,000 24,500 12,250 6,125 18,376 9,188 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922

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