λ
Sigma Notebook

9,668,528

24 × 31 × 101 × 193
Abundant Even Composite

9,668,528 is even and not a perfect square. Its factorization is 2^4 × 31 × 101 × 193 and its 40 divisors sum to 19,629,696.

Prime Factor Structure

Factorization String 2^4 × 31 × 101 × 193
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 19,629,696
Proper Divisor Sum 9,961,168
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #9668521 ← → #9668537

Radix Representation

Decimal 9668528
Binary 100100111000011110110000 (24 bits)
Octal 0o44703660
Hexadecimal 0x9387B0

Divisor Catalog (40)

1 2 4 8 16 31 62 101 124 193 202 248 386 404 496 772 808 1,544 1,616 3,088 3,131 5,983 6,262 11,966 12,524 19,493 23,932 25,048 38,986 47,864 50,096 77,972 95,728 155,944 311,888 604,283 1,208,566 2,417,132 4,834,264 9,668,528

Collatz Trajectory (119 steps to reach 1)

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

9,668,528 4,834,264 2,417,132 1,208,566 604,283 1,812,850 906,425 2,719,276 1,359,638 679,819 2,039,458 1,019,729 3,059,188 1,529,594 764,797 2,294,392 1,147,196 573,598 286,799 860,398 430,199 1,290,598 645,299 1,935,898 967,949 2,903,848 1,451,924 725,962 362,981 1,088,944 544,472 272,236 136,118 68,059 204,178 102,089 306,268 153,134 76,567 229,702 114,851 344,554 172,277 516,832 258,416 129,208 64,604 32,302 16,151 48,454 24,227 72,682 36,341 109,024 54,512 27,256 13,628 6,814 3,407 10,222

More profiles

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