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Atlas › Integer Profiles › Node 40,936,700

40,936,700

22 × 52 × 7 × 58481
Abundant Even Composite

40,936,700 factors as 2^2 × 5^2 × 7 × 58481. Its 36 positive divisors give a proper-divisor sum of 60,588,052, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 58481
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 101,524,752
Proper Divisor Sum 60,588,052
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #40936699 ← → #40936741

Radix Representation

Decimal 40936700
Binary 10011100001010010011111100 (26 bits)
Octal 0o234122374
Hexadecimal 0x270A4FC

Divisor Catalog (36)

1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 58,481 116,962 233,924 292,405 409,367 584,810 818,734 1,169,620 1,462,025 1,637,468 2,046,835 2,924,050 4,093,670 5,848,100 8,187,340 10,234,175 20,468,350 40,936,700

Collatz Trajectory (209 steps to reach 1)

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

40,936,700 20,468,350 10,234,175 30,702,526 15,351,263 46,053,790 23,026,895 69,080,686 34,540,343 103,621,030 51,810,515 155,431,546 77,715,773 233,147,320 116,573,660 58,286,830 29,143,415 87,430,246 43,715,123 131,145,370 65,572,685 196,718,056 98,359,028 49,179,514 24,589,757 73,769,272 36,884,636 18,442,318 9,221,159 27,663,478 13,831,739 41,495,218 20,747,609 62,242,828 31,121,414 15,560,707 46,682,122 23,341,061 70,023,184 35,011,592 17,505,796 8,752,898 4,376,449 13,129,348 6,564,674 3,282,337 9,847,012 4,923,506 2,461,753 7,385,260 3,692,630 1,846,315 5,538,946 2,769,473 8,308,420 4,154,210 2,077,105 6,231,316 3,115,658 1,557,829

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