λ
Prime Ledger

9,745,188

22 × 3 × 743 × 1093
Abundant Even Composite

9,745,188 has the prime decomposition 2^2 × 3 × 743 × 1093. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 743 × 1093
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,790,208
Proper Divisor Sum 13,045,020
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9745181 ← → #9745201

Radix Representation

Decimal 9745188
Binary 100101001011001100100100 (24 bits)
Octal 0o45131444
Hexadecimal 0x94B324

Divisor Catalog (24)

1 2 3 4 6 12 743 1,093 1,486 2,186 2,229 2,972 3,279 4,372 4,458 6,558 8,916 13,116 812,099 1,624,198 2,436,297 3,248,396 4,872,594 9,745,188

Collatz Trajectory (163 steps to reach 1)

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

9,745,188 4,872,594 2,436,297 7,308,892 3,654,446 1,827,223 5,481,670 2,740,835 8,222,506 4,111,253 12,333,760 6,166,880 3,083,440 1,541,720 770,860 385,430 192,715 578,146 289,073 867,220 433,610 216,805 650,416 325,208 162,604 81,302 40,651 121,954 60,977 182,932 91,466 45,733 137,200 68,600 34,300 17,150 8,575 25,726 12,863 38,590 19,295 57,886 28,943 86,830 43,415 130,246 65,123 195,370 97,685 293,056 146,528 73,264 36,632 18,316 9,158 4,579 13,738 6,869 20,608 10,304

More profiles

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