λ
Sigma Notebook

9,468,123

3 × 72 × 29 × 2221
Deficient Odd Composite

9,468,123 is odd and not a perfect square. Its factorization is 3 × 7^2 × 29 × 2221 and its 24 divisors sum to 15,198,480.

Prime Factor Structure

Factorization String 3 × 7^2 × 29 × 2221
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,198,480
Proper Divisor Sum 5,730,357
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9468119 ← → #9468131

Radix Representation

Decimal 9468123
Binary 100100000111100011011011 (24 bits)
Octal 0o44074333
Hexadecimal 0x9078DB

Divisor Catalog (24)

1 3 7 21 29 49 87 147 203 609 1,421 2,221 4,263 6,663 15,547 46,641 64,409 108,829 193,227 326,487 450,863 1,352,589 3,156,041 9,468,123

Collatz Trajectory (256 steps to reach 1)

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

9,468,123 28,404,370 14,202,185 42,606,556 21,303,278 10,651,639 31,954,918 15,977,459 47,932,378 23,966,189 71,898,568 35,949,284 17,974,642 8,987,321 26,961,964 13,480,982 6,740,491 20,221,474 10,110,737 30,332,212 15,166,106 7,583,053 22,749,160 11,374,580 5,687,290 2,843,645 8,530,936 4,265,468 2,132,734 1,066,367 3,199,102 1,599,551 4,798,654 2,399,327 7,197,982 3,598,991 10,796,974 5,398,487 16,195,462 8,097,731 24,293,194 12,146,597 36,439,792 18,219,896 9,109,948 4,554,974 2,277,487 6,832,462 3,416,231 10,248,694 5,124,347 15,373,042 7,686,521 23,059,564 11,529,782 5,764,891 17,294,674 8,647,337 25,942,012 12,971,006

More profiles

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