λ
Ratio Atlas

31,904,746

2 × 2719 × 5867
Deficient Even Composite

31,904,746 factors as 2 × 2719 × 5867. Its 8 positive divisors give a proper-divisor sum of 15,978,134, so this integer is deficient. The Collatz stopping time is 294 steps.

Prime Factor Structure

Factorization String 2 × 2719 × 5867
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 47,882,880
Proper Divisor Sum 15,978,134
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #31904737 ← → #31904771

Radix Representation

Decimal 31904746
Binary 1111001101101001111101010 (25 bits)
Octal 0o171551752
Hexadecimal 0x1E6D3EA

Divisor Catalog (8)

Collatz Trajectory (294 steps to reach 1)

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

31,904,746 15,952,373 47,857,120 23,928,560 11,964,280 5,982,140 2,991,070 1,495,535 4,486,606 2,243,303 6,729,910 3,364,955 10,094,866 5,047,433 15,142,300 7,571,150 3,785,575 11,356,726 5,678,363 17,035,090 8,517,545 25,552,636 12,776,318 6,388,159 19,164,478 9,582,239 28,746,718 14,373,359 43,120,078 21,560,039 64,680,118 32,340,059 97,020,178 48,510,089 145,530,268 72,765,134 36,382,567 109,147,702 54,573,851 163,721,554 81,860,777 245,582,332 122,791,166 61,395,583 184,186,750 92,093,375 276,280,126 138,140,063 414,420,190 207,210,095 621,630,286 310,815,143 932,445,430 466,222,715 1,398,668,146 699,334,073 2,098,002,220 1,049,001,110 524,500,555 1,573,501,666

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