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40,360,660

22 × 5 × 43 × 71 × 661
Abundant Even Composite

40,360,660 factors as 2^2 × 5 × 43 × 71 × 661. Its 48 positive divisors give a proper-divisor sum of 47,722,412, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 43 × 71 × 661
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 88,083,072
Proper Divisor Sum 47,722,412
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #40360643 ← → #40360679

Radix Representation

Decimal 40360660
Binary 10011001111101101011010100 (26 bits)
Octal 0o231755324
Hexadecimal 0x267DAD4

Divisor Catalog (48)

1 2 4 5 10 20 43 71 86 142 172 215 284 355 430 661 710 860 1,322 1,420 2,644 3,053 3,305 6,106 6,610 12,212 13,220 15,265 28,423 30,530 46,931 56,846 61,060 93,862 113,692 142,115 187,724 234,655 284,230 469,310 568,460 938,620 2,018,033 4,036,066 8,072,132 10,090,165 20,180,330 40,360,660

Collatz Trajectory (209 steps to reach 1)

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

40,360,660 20,180,330 10,090,165 30,270,496 15,135,248 7,567,624 3,783,812 1,891,906 945,953 2,837,860 1,418,930 709,465 2,128,396 1,064,198 532,099 1,596,298 798,149 2,394,448 1,197,224 598,612 299,306 149,653 448,960 224,480 112,240 56,120 28,060 14,030 7,015 21,046 10,523 31,570 15,785 47,356 23,678 11,839 35,518 17,759 53,278 26,639 79,918 39,959 119,878 59,939 179,818 89,909 269,728 134,864 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742 2,371 7,114

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