λ
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9,705,876

22 × 3 × 47 × 17209
Abundant Even Composite

9,705,876 factors as 2^2 × 3 × 47 × 17209. Its 24 positive divisors give a proper-divisor sum of 13,424,364, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 47 × 17209
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 23,130,240
Proper Divisor Sum 13,424,364
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9705859 ← → #9705887

Radix Representation

Decimal 9705876
Binary 100101000001100110010100 (24 bits)
Octal 0o45014624
Hexadecimal 0x941994

Divisor Catalog (24)

1 2 3 4 6 12 47 94 141 188 282 564 17,209 34,418 51,627 68,836 103,254 206,508 808,823 1,617,646 2,426,469 3,235,292 4,852,938 9,705,876

Collatz Trajectory (101 steps to reach 1)

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

9,705,876 4,852,938 2,426,469 7,279,408 3,639,704 1,819,852 909,926 454,963 1,364,890 682,445 2,047,336 1,023,668 511,834 255,917 767,752 383,876 191,938 95,969 287,908 143,954 71,977 215,932 107,966 53,983 161,950 80,975 242,926 121,463 364,390 182,195 546,586 273,293 819,880 409,940 204,970 102,485 307,456 153,728 76,864 38,432 19,216 9,608 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287

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