λ
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9,709,800

23 × 3 × 52 × 16183
Abundant Even Composite

9,709,800 factors as 2^3 × 3 × 5^2 × 16183. Its 48 positive divisors give a proper-divisor sum of 20,392,440, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 16183
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 30,102,240
Proper Divisor Sum 20,392,440
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9709781 ← → #9709813

Radix Representation

Decimal 9709800
Binary 100101000010100011101000 (24 bits)
Octal 0o45024350
Hexadecimal 0x9428E8

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 16,183 32,366 48,549 64,732 80,915 97,098 129,464 161,830 194,196 242,745 323,660 388,392 404,575 485,490 647,320 809,150 970,980 1,213,725 1,618,300 1,941,960 2,427,450 3,236,600 4,854,900 9,709,800

Collatz Trajectory (238 steps to reach 1)

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

9,709,800 4,854,900 2,427,450 1,213,725 3,641,176 1,820,588 910,294 455,147 1,365,442 682,721 2,048,164 1,024,082 512,041 1,536,124 768,062 384,031 1,152,094 576,047 1,728,142 864,071 2,592,214 1,296,107 3,888,322 1,944,161 5,832,484 2,916,242 1,458,121 4,374,364 2,187,182 1,093,591 3,280,774 1,640,387 4,921,162 2,460,581 7,381,744 3,690,872 1,845,436 922,718 461,359 1,384,078 692,039 2,076,118 1,038,059 3,114,178 1,557,089 4,671,268 2,335,634 1,167,817 3,503,452 1,751,726 875,863 2,627,590 1,313,795 3,941,386 1,970,693 5,912,080 2,956,040 1,478,020 739,010 369,505

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