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Atlas › Integer Profiles › Node 41,009,680

41,009,680

24 × 5 × 512621
Abundant Even Composite

41,009,680 factors as 2^4 × 5 × 512621. Its 20 positive divisors give a proper-divisor sum of 54,338,012, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 512621
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 95,347,692
Proper Divisor Sum 54,338,012
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #41009677 ← → #41009699

Radix Representation

Decimal 41009680
Binary 10011100011100001000010000 (26 bits)
Octal 0o234341020
Hexadecimal 0x271C210

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 512,621 1,025,242 2,050,484 2,563,105 4,100,968 5,126,210 8,201,936 10,252,420 20,504,840 41,009,680

Collatz Trajectory (103 steps to reach 1)

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

41,009,680 20,504,840 10,252,420 5,126,210 2,563,105 7,689,316 3,844,658 1,922,329 5,766,988 2,883,494 1,441,747 4,325,242 2,162,621 6,487,864 3,243,932 1,621,966 810,983 2,432,950 1,216,475 3,649,426 1,824,713 5,474,140 2,737,070 1,368,535 4,105,606 2,052,803 6,158,410 3,079,205 9,237,616 4,618,808 2,309,404 1,154,702 577,351 1,732,054 866,027 2,598,082 1,299,041 3,897,124 1,948,562 974,281 2,922,844 1,461,422 730,711 2,192,134 1,096,067 3,288,202 1,644,101 4,932,304 2,466,152 1,233,076 616,538 308,269 924,808 462,404 231,202 115,601 346,804 173,402 86,701 260,104

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