λ
Integer Codex

9,764,364

22 × 3 × 813697
Abundant Even Composite

For 9,764,364, the 12 positive divisors have a total of 22,783,544. Removing 9,764,364 leaves 13,019,180, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 813697
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 22,783,544
Proper Divisor Sum 13,019,180
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9764317 ← → #9764393

Radix Representation

Decimal 9764364
Binary 100101001111111000001100 (24 bits)
Octal 0o45177014
Hexadecimal 0x94FE0C

Divisor Catalog (12)

1 2 3 4 6 12 813,697 1,627,394 2,441,091 3,254,788 4,882,182 9,764,364

Collatz Trajectory (114 steps to reach 1)

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

9,764,364 4,882,182 2,441,091 7,323,274 3,661,637 10,984,912 5,492,456 2,746,228 1,373,114 686,557 2,059,672 1,029,836 514,918 257,459 772,378 386,189 1,158,568 579,284 289,642 144,821 434,464 217,232 108,616 54,308 27,154 13,577 40,732 20,366 10,183 30,550 15,275 45,826 22,913 68,740 34,370 17,185 51,556 25,778 12,889 38,668 19,334 9,667 29,002 14,501 43,504 21,752 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327

More profiles

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