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Atlas › Integer Profiles › Node 12,371,574

12,371,574

2 × 3 × 29 × 97 × 733
Abundant Even Composite

12,371,574 factors as 2 × 3 × 29 × 97 × 733. Its 32 positive divisors give a proper-divisor sum of 13,523,946, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 97 × 733
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,895,520
Proper Divisor Sum 13,523,946
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #12371561 ← → #12371629

Radix Representation

Decimal 12371574
Binary 101111001100011001110110 (24 bits)
Octal 0o57143166
Hexadecimal 0xBCC676

Divisor Catalog (32)

1 2 3 6 29 58 87 97 174 194 291 582 733 1,466 2,199 2,813 4,398 5,626 8,439 16,878 21,257 42,514 63,771 71,101 127,542 142,202 213,303 426,606 2,061,929 4,123,858 6,185,787 12,371,574

Collatz Trajectory (104 steps to reach 1)

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

12,371,574 6,185,787 18,557,362 9,278,681 27,836,044 13,918,022 6,959,011 20,877,034 10,438,517 31,315,552 15,657,776 7,828,888 3,914,444 1,957,222 978,611 2,935,834 1,467,917 4,403,752 2,201,876 1,100,938 550,469 1,651,408 825,704 412,852 206,426 103,213 309,640 154,820 77,410 38,705 116,116 58,058 29,029 87,088 43,544 21,772 10,886 5,443 16,330 8,165 24,496 12,248 6,124 3,062 1,531 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182

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