λ
Sigma Notebook

9,736,698

2 × 3 × 37 × 61 × 719
Abundant Even Composite

9,736,698 is even and not a perfect square. Its factorization is 2 × 3 × 37 × 61 × 719 and its 32 divisors sum to 20,355,840.

Prime Factor Structure

Factorization String 2 × 3 × 37 × 61 × 719
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,355,840
Proper Divisor Sum 10,619,142
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #9736651 ← → #9736717

Radix Representation

Decimal 9736698
Binary 100101001001000111111010 (24 bits)
Octal 0o45110772
Hexadecimal 0x9491FA

Divisor Catalog (32)

1 2 3 6 37 61 74 111 122 183 222 366 719 1,438 2,157 2,257 4,314 4,514 6,771 13,542 26,603 43,859 53,206 79,809 87,718 131,577 159,618 263,154 1,622,783 3,245,566 4,868,349 9,736,698

Collatz Trajectory (163 steps to reach 1)

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

9,736,698 4,868,349 14,605,048 7,302,524 3,651,262 1,825,631 5,476,894 2,738,447 8,215,342 4,107,671 12,323,014 6,161,507 18,484,522 9,242,261 27,726,784 13,863,392 6,931,696 3,465,848 1,732,924 866,462 433,231 1,299,694 649,847 1,949,542 974,771 2,924,314 1,462,157 4,386,472 2,193,236 1,096,618 548,309 1,644,928 822,464 411,232 205,616 102,808 51,404 25,702 12,851 38,554 19,277 57,832 28,916 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286

More profiles

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