31,339,948

2² × 43 × 182209

31,339,948 factors as 2^2 × 43 × 182209. Its 12 positive divisors give a proper-divisor sum of 24,780,732, so this integer is deficient. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^2 × 43 × 182209

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 56,120,680

Proper Divisor Sum 24,780,732

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #31339939 ← → #31339963

Radix Representation

Decimal	31339948
Binary	1110111100011010110101100 (25 bits)
Octal	0o167432654
Hexadecimal	0x1DE35AC

Divisor Catalog (12)

1 2 4 43 86 172 182,209 364,418 728,836 7,834,987 15,669,974 31,339,948

Collatz Trajectory (157 steps to reach 1)

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

31,339,948 15,669,974 7,834,987 23,504,962 11,752,481 35,257,444 17,628,722 8,814,361 26,443,084 13,221,542 6,610,771 19,832,314 9,916,157 29,748,472 14,874,236 7,437,118 3,718,559 11,155,678 5,577,839 16,733,518 8,366,759 25,100,278 12,550,139 37,650,418 18,825,209 56,475,628 28,237,814 14,118,907 42,356,722 21,178,361 63,535,084 31,767,542 15,883,771 47,651,314 23,825,657 71,476,972 35,738,486 17,869,243 53,607,730 26,803,865 80,411,596 40,205,798 20,102,899 60,308,698 30,154,349 90,463,048 45,231,524 22,615,762 11,307,881 33,923,644 16,961,822 8,480,911 25,442,734 12,721,367 38,164,102 19,082,051 57,246,154 28,623,077 85,869,232 42,934,616

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