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Atlas › Integer Profiles › Node 3,134,040

3,134,040

23 × 3 × 5 × 72 × 13 × 41
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7^2 × 13 × 41
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 192
Divisor Sum (σ) 12,065,760
Proper Divisor Sum 8,931,720
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #3134039 ← → #3134041

Radix Representation

Decimal 3134040
Binary 1011111101001001011000 (22 bits)
Octal 0o13751130
Hexadecimal 0x2FD258

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 41 42 49 52 56 60 65 70 78 82 84 91 98 104 105 120 123 130 140 147 156 164 168 182 195 196 205 210 245 246 260 273 280 287 294 312 328 364

Collatz Trajectory (71 steps to reach 1)

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

3,134,040 1,567,020 783,510 391,755 1,175,266 587,633 1,762,900 881,450 440,725 1,322,176 661,088 330,544 165,272 82,636 41,318 20,659 61,978 30,989 92,968 46,484 23,242 11,621 34,864 17,432 8,716 4,358 2,179 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17

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