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Atlas › Integer Profiles › Node 41,670,448

41,670,448

24 × 29 × 31 × 2897
Abundant Even Composite

41,670,448 factors as 2^4 × 29 × 31 × 2897. Its 40 positive divisors give a proper-divisor sum of 44,574,032, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^4 × 29 × 31 × 2897
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 86,244,480
Proper Divisor Sum 44,574,032
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #41670427 ← → #41670467

Radix Representation

Decimal 41670448
Binary 10011110111101011100110000 (26 bits)
Octal 0o236753460
Hexadecimal 0x27BD730

Divisor Catalog (40)

1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 899 1,798 2,897 3,596 5,794 7,192 11,588 14,384 23,176 46,352 84,013 89,807 168,026 179,614 336,052 359,228 672,104 718,456 1,344,208 1,436,912 2,604,403 5,208,806 10,417,612 20,835,224 41,670,448

Collatz Trajectory (134 steps to reach 1)

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

41,670,448 20,835,224 10,417,612 5,208,806 2,604,403 7,813,210 3,906,605 11,719,816 5,859,908 2,929,954 1,464,977 4,394,932 2,197,466 1,098,733 3,296,200 1,648,100 824,050 412,025 1,236,076 618,038 309,019 927,058 463,529 1,390,588 695,294 347,647 1,042,942 521,471 1,564,414 782,207 2,346,622 1,173,311 3,519,934 1,759,967 5,279,902 2,639,951 7,919,854 3,959,927 11,879,782 5,939,891 17,819,674 8,909,837 26,729,512 13,364,756 6,682,378 3,341,189 10,023,568 5,011,784 2,505,892 1,252,946 626,473 1,879,420 939,710 469,855 1,409,566 704,783 2,114,350 1,057,175 3,171,526 1,585,763

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