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Atlas › Integer Profiles › Node 12,377,722

12,377,722

2 × 7 × 29 × 43 × 709
Deficient Even Composite

12,377,722 factors as 2 × 7 × 29 × 43 × 709. Its 32 positive divisors give a proper-divisor sum of 10,115,078, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2 × 7 × 29 × 43 × 709
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,492,800
Proper Divisor Sum 10,115,078
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #12377719 ← → #12377737

Radix Representation

Decimal 12377722
Binary 101111001101111001111010 (24 bits)
Octal 0o57157172
Hexadecimal 0xBCDE7A

Divisor Catalog (32)

1 2 7 14 29 43 58 86 203 301 406 602 709 1,247 1,418 2,494 4,963 8,729 9,926 17,458 20,561 30,487 41,122 60,974 143,927 213,409 287,854 426,818 884,123 1,768,246 6,188,861 12,377,722

Collatz Trajectory (104 steps to reach 1)

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

12,377,722 6,188,861 18,566,584 9,283,292 4,641,646 2,320,823 6,962,470 3,481,235 10,443,706 5,221,853 15,665,560 7,832,780 3,916,390 1,958,195 5,874,586 2,937,293 8,811,880 4,405,940 2,202,970 1,101,485 3,304,456 1,652,228 826,114 413,057 1,239,172 619,586 309,793 929,380 464,690 232,345 697,036 348,518 174,259 522,778 261,389 784,168 392,084 196,042 98,021 294,064 147,032 73,516 36,758 18,379 55,138 27,569 82,708 41,354 20,677 62,032 31,016 15,508 7,754 3,877 11,632 5,816 2,908 1,454 727 2,182

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