56,394,772

2² × 7 × 2014099

56,394,772 factors as 2^2 × 7 × 2014099. Its 12 positive divisors give a proper-divisor sum of 56,394,828, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 2014099

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 112,789,600

Proper Divisor Sum 56,394,828

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #56394757 ← → #56394773

Radix Representation

Decimal	56394772
Binary	11010111001000010000010100 (26 bits)
Octal	0o327102024
Hexadecimal	0x35C8414

Divisor Catalog (12)

1 2 4 7 14 28 2,014,099 4,028,198 8,056,396 14,098,693 28,197,386 56,394,772

Collatz Trajectory (176 steps to reach 1)

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

56,394,772 28,197,386 14,098,693 42,296,080 21,148,040 10,574,020 5,287,010 2,643,505 7,930,516 3,965,258 1,982,629 5,947,888 2,973,944 1,486,972 743,486 371,743 1,115,230 557,615 1,672,846 836,423 2,509,270 1,254,635 3,763,906 1,881,953 5,645,860 2,822,930 1,411,465 4,234,396 2,117,198 1,058,599 3,175,798 1,587,899 4,763,698 2,381,849 7,145,548 3,572,774 1,786,387 5,359,162 2,679,581 8,038,744 4,019,372 2,009,686 1,004,843 3,014,530 1,507,265 4,521,796 2,260,898 1,130,449 3,391,348 1,695,674 847,837 2,543,512 1,271,756 635,878 317,939 953,818 476,909 1,430,728 715,364 357,682

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