λ
Sigma Notebook

9,031,776

25 × 3 × 13 × 7237
Abundant Even Composite

9,031,776 is even and not a perfect square. Its factorization is 2^5 × 3 × 13 × 7237 and its 48 divisors sum to 25,535,664.

Prime Factor Structure

Factorization String 2^5 × 3 × 13 × 7237
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,535,664
Proper Divisor Sum 16,503,888
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9031747 ← → #9031787

Radix Representation

Decimal 9031776
Binary 100010011101000001100000 (24 bits)
Octal 0o42350140
Hexadecimal 0x89D060

Divisor Catalog (48)

1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1,248 7,237 14,474 21,711 28,948 43,422 57,896 86,844 94,081 115,792 173,688 188,162 231,584 282,243 347,376 376,324 564,486 694,752 752,648 1,128,972 1,505,296 2,257,944 3,010,592 4,515,888 9,031,776

Collatz Trajectory (88 steps to reach 1)

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

9,031,776 4,515,888 2,257,944 1,128,972 564,486 282,243 846,730 423,365 1,270,096 635,048 317,524 158,762 79,381 238,144 119,072 59,536 29,768 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268

More profiles

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