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Atlas › Integer Profiles › Node 41,439,640

41,439,640

23 × 5 × 11 × 53 × 1777
Abundant Even Composite

41,439,640 factors as 2^3 × 5 × 11 × 53 × 1777. Its 64 positive divisors give a proper-divisor sum of 62,253,320, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 53 × 1777
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 103,692,960
Proper Divisor Sum 62,253,320
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #41439631 ← → #41439641

Radix Representation

Decimal 41439640
Binary 10011110000101000110011000 (26 bits)
Octal 0o236050630
Hexadecimal 0x2785198

Divisor Catalog (60 of 64)

1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 424 440 530 583 1,060 1,166 1,777 2,120 2,332 2,915 3,554 4,664 5,830 7,108 8,885 11,660 14,216 17,770 19,547 23,320 35,540 39,094 71,080 78,188 94,181 97,735 156,376 188,362 195,470 376,724 390,940 470,905 753,448 781,880 941,810 1,035,991 1,883,620 2,071,982 3,767,240 4,143,964 5,179,955

Collatz Trajectory (160 steps to reach 1)

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

41,439,640 20,719,820 10,359,910 5,179,955 15,539,866 7,769,933 23,309,800 11,654,900 5,827,450 2,913,725 8,741,176 4,370,588 2,185,294 1,092,647 3,277,942 1,638,971 4,916,914 2,458,457 7,375,372 3,687,686 1,843,843 5,531,530 2,765,765 8,297,296 4,148,648 2,074,324 1,037,162 518,581 1,555,744 777,872 388,936 194,468 97,234 48,617 145,852 72,926 36,463 109,390 54,695 164,086 82,043 246,130 123,065 369,196 184,598 92,299 276,898 138,449 415,348 207,674 103,837 311,512 155,756 77,878 38,939 116,818 58,409 175,228 87,614 43,807

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