31,174,942

2 × 29 × 37 × 73 × 199

31,174,942 factors as 2 × 29 × 37 × 73 × 199. Its 32 positive divisors give a proper-divisor sum of 19,441,058, so this integer is deficient. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 2 × 29 × 37 × 73 × 199

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 50,616,000

Proper Divisor Sum 19,441,058

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #31174939 ← → #31174961

Radix Representation

Decimal	31174942
Binary	1110110111011000100011110 (25 bits)
Octal	0o166730436
Hexadecimal	0x1DBB11E

Divisor Catalog (32)

Collatz Trajectory (219 steps to reach 1)

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

31,174,942 15,587,471 46,762,414 23,381,207 70,143,622 35,071,811 105,215,434 52,607,717 157,823,152 78,911,576 39,455,788 19,727,894 9,863,947 29,591,842 14,795,921 44,387,764 22,193,882 11,096,941 33,290,824 16,645,412 8,322,706 4,161,353 12,484,060 6,242,030 3,121,015 9,363,046 4,681,523 14,044,570 7,022,285 21,066,856 10,533,428 5,266,714 2,633,357 7,900,072 3,950,036 1,975,018 987,509 2,962,528 1,481,264 740,632 370,316 185,158 92,579 277,738 138,869 416,608 208,304 104,152 52,076 26,038 13,019 39,058 19,529 58,588 29,294 14,647 43,942 21,971 65,914 32,957

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