λ
Prime Ledger

9,721,134

2 × 34 × 23 × 2609
Abundant Even Composite

9,721,134 has the prime decomposition 2 × 3^4 × 23 × 2609. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 23 × 2609
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 22,738,320
Proper Divisor Sum 13,017,186
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9721133 ← → #9721147

Radix Representation

Decimal 9721134
Binary 100101000101010100101110 (24 bits)
Octal 0o45052456
Hexadecimal 0x94552E

Divisor Catalog (40)

1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1,242 1,863 2,609 3,726 5,218 7,827 15,654 23,481 46,962 60,007 70,443 120,014 140,886 180,021 211,329 360,042 422,658 540,063 1,080,126 1,620,189 3,240,378 4,860,567 9,721,134

Collatz Trajectory (132 steps to reach 1)

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

9,721,134 4,860,567 14,581,702 7,290,851 21,872,554 10,936,277 32,808,832 16,404,416 8,202,208 4,101,104 2,050,552 1,025,276 512,638 256,319 768,958 384,479 1,153,438 576,719 1,730,158 865,079 2,595,238 1,297,619 3,892,858 1,946,429 5,839,288 2,919,644 1,459,822 729,911 2,189,734 1,094,867 3,284,602 1,642,301 4,926,904 2,463,452 1,231,726 615,863 1,847,590 923,795 2,771,386 1,385,693 4,157,080 2,078,540 1,039,270 519,635 1,558,906 779,453 2,338,360 1,169,180 584,590 292,295 876,886 438,443 1,315,330 657,665 1,972,996 986,498 493,249 1,479,748 739,874 369,937

More profiles

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