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Atlas › Integer Profiles › Node 2,395,050

2,395,050

2 × 3 × 52 × 7 × 2281
Abundant Even Composite

2,395,050 factors as 2 × 3 × 5^2 × 7 × 2281. Its 48 positive divisors give a proper-divisor sum of 4,396,182, so this integer is abundant. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7 × 2281
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,791,232
Proper Divisor Sum 4,396,182
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2395039 ← → #2395051

Radix Representation

Decimal 2395050
Binary 1001001000101110101010 (22 bits)
Octal 0o11105652
Hexadecimal 0x248BAA

Divisor Catalog (48)

1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1,050 2,281 4,562 6,843 11,405 13,686 15,967 22,810 31,934 34,215 47,901 57,025 68,430 79,835 95,802 114,050 159,670 171,075 239,505 342,150 399,175 479,010 798,350 1,197,525 2,395,050

Collatz Trajectory (205 steps to reach 1)

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

2,395,050 1,197,525 3,592,576 1,796,288 898,144 449,072 224,536 112,268 56,134 28,067 84,202 42,101 126,304 63,152 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227

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