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Atlas › Integer Profiles › Node 31,584,032

31,584,032

25 × 461 × 2141
Deficient Even Composite

31,584,032 factors as 2^5 × 461 × 2141. Its 24 positive divisors give a proper-divisor sum of 30,761,020, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^5 × 461 × 2141
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 62,345,052
Proper Divisor Sum 30,761,020
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #31584019 ← → #31584043

Radix Representation

Decimal 31584032
Binary 1111000011110111100100000 (25 bits)
Octal 0o170367440
Hexadecimal 0x1E1EF20

Divisor Catalog (24)

1 2 4 8 16 32 461 922 1,844 2,141 3,688 4,282 7,376 8,564 14,752 17,128 34,256 68,512 987,001 1,974,002 3,948,004 7,896,008 15,792,016 31,584,032

Collatz Trajectory (126 steps to reach 1)

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

31,584,032 15,792,016 7,896,008 3,948,004 1,974,002 987,001 2,961,004 1,480,502 740,251 2,220,754 1,110,377 3,331,132 1,665,566 832,783 2,498,350 1,249,175 3,747,526 1,873,763 5,621,290 2,810,645 8,431,936 4,215,968 2,107,984 1,053,992 526,996 263,498 131,749 395,248 197,624 98,812 49,406 24,703 74,110 37,055 111,166 55,583 166,750 83,375 250,126 125,063 375,190 187,595 562,786 281,393 844,180 422,090 211,045 633,136 316,568 158,284 79,142 39,571 118,714 59,357 178,072 89,036 44,518 22,259 66,778 33,389

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