λ
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Atlas › Integer Profiles › Node 34,994,050

34,994,050

2 × 52 × 7 × 13 × 7691
Abundant Even Composite

34,994,050 factors as 2 × 5^2 × 7 × 13 × 7691. Its 48 positive divisors give a proper-divisor sum of 45,125,822, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 13 × 7691
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 80,119,872
Proper Divisor Sum 45,125,822
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #34994027 ← → #34994059

Radix Representation

Decimal 34994050
Binary 10000101011111011110000010 (26 bits)
Octal 0o205373602
Hexadecimal 0x215F782

Divisor Catalog (48)

1 2 5 7 10 13 14 25 26 35 50 65 70 91 130 175 182 325 350 455 650 910 2,275 4,550 7,691 15,382 38,455 53,837 76,910 99,983 107,674 192,275 199,966 269,185 384,550 499,915 538,370 699,881 999,830 1,345,925 1,399,762 2,499,575 2,691,850 3,499,405 4,999,150 6,998,810 17,497,025 34,994,050

Collatz Trajectory (95 steps to reach 1)

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

34,994,050 17,497,025 52,491,076 26,245,538 13,122,769 39,368,308 19,684,154 9,842,077 29,526,232 14,763,116 7,381,558 3,690,779 11,072,338 5,536,169 16,608,508 8,304,254 4,152,127 12,456,382 6,228,191 18,684,574 9,342,287 28,026,862 14,013,431 42,040,294 21,020,147 63,060,442 31,530,221 94,590,664 47,295,332 23,647,666 11,823,833 35,471,500 17,735,750 8,867,875 26,603,626 13,301,813 39,905,440 19,952,720 9,976,360 4,988,180 2,494,090 1,247,045 3,741,136 1,870,568 935,284 467,642 233,821 701,464 350,732 175,366 87,683 263,050 131,525 394,576 197,288 98,644 49,322 24,661 73,984 36,992

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