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Atlas › Integer Profiles › Node 31,141,642

31,141,642

2 × 7 × 37 × 79 × 761
Deficient Even Composite

31,141,642 factors as 2 × 7 × 37 × 79 × 761. Its 32 positive divisors give a proper-divisor sum of 24,453,878, so this integer is deficient. The Collatz stopping time is 250 steps.

Prime Factor Structure

Factorization String 2 × 7 × 37 × 79 × 761
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 55,595,520
Proper Divisor Sum 24,453,878
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #31141613 ← → #31141657

Radix Representation

Decimal 31141642
Binary 1110110110010111100001010 (25 bits)
Octal 0o166627412
Hexadecimal 0x1DB2F0A

Divisor Catalog (32)

1 2 7 14 37 74 79 158 259 518 553 761 1,106 1,522 2,923 5,327 5,846 10,654 20,461 28,157 40,922 56,314 60,119 120,238 197,099 394,198 420,833 841,666 2,224,403 4,448,806 15,570,821 31,141,642

Collatz Trajectory (250 steps to reach 1)

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

31,141,642 15,570,821 46,712,464 23,356,232 11,678,116 5,839,058 2,919,529 8,758,588 4,379,294 2,189,647 6,568,942 3,284,471 9,853,414 4,926,707 14,780,122 7,390,061 22,170,184 11,085,092 5,542,546 2,771,273 8,313,820 4,156,910 2,078,455 6,235,366 3,117,683 9,353,050 4,676,525 14,029,576 7,014,788 3,507,394 1,753,697 5,261,092 2,630,546 1,315,273 3,945,820 1,972,910 986,455 2,959,366 1,479,683 4,439,050 2,219,525 6,658,576 3,329,288 1,664,644 832,322 416,161 1,248,484 624,242 312,121 936,364 468,182 234,091 702,274 351,137 1,053,412 526,706 263,353 790,060 395,030 197,515

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