λ
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9,850,580

22 × 5 × 53 × 9293
Abundant Even Composite

9,850,580 factors as 2^2 × 5 × 53 × 9293. Its 24 positive divisors give a proper-divisor sum of 11,228,212, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 53 × 9293
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,078,792
Proper Divisor Sum 11,228,212
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9850573 ← → #9850583

Radix Representation

Decimal 9850580
Binary 100101100100111011010100 (24 bits)
Octal 0o45447324
Hexadecimal 0x964ED4

Divisor Catalog (24)

1 2 4 5 10 20 53 106 212 265 530 1,060 9,293 18,586 37,172 46,465 92,930 185,860 492,529 985,058 1,970,116 2,462,645 4,925,290 9,850,580

Collatz Trajectory (176 steps to reach 1)

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

9,850,580 4,925,290 2,462,645 7,387,936 3,693,968 1,846,984 923,492 461,746 230,873 692,620 346,310 173,155 519,466 259,733 779,200 389,600 194,800 97,400 48,700 24,350 12,175 36,526 18,263 54,790 27,395 82,186 41,093 123,280 61,640 30,820 15,410 7,705 23,116 11,558 5,779 17,338 8,669 26,008 13,004 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290

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