λ
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851,920

24 × 5 × 23 × 463
Abundant Even Composite

851,920 factors as 2^4 × 5 × 23 × 463. Its 40 positive divisors give a proper-divisor sum of 1,219,376, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 23 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 2,071,296
Proper Divisor Sum 1,219,376
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #851899 ← → #851953

Radix Representation

Decimal 851920
Binary 11001111111111010000 (20 bits)
Octal 0o3177720
Hexadecimal 0xCFFD0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 463 920 926 1,840 1,852 2,315 3,704 4,630 7,408 9,260 10,649 18,520 21,298 37,040 42,596 53,245 85,192 106,490 170,384 212,980 425,960 851,920

Collatz Trajectory (175 steps to reach 1)

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

851,920 425,960 212,980 106,490 53,245 159,736 79,868 39,934 19,967 59,902 29,951 89,854 44,927 134,782 67,391 202,174 101,087 303,262 151,631 454,894 227,447 682,342 341,171 1,023,514 511,757 1,535,272 767,636 383,818 191,909 575,728 287,864 143,932 71,966 35,983 107,950 53,975 161,926 80,963 242,890 121,445 364,336 182,168 91,084 45,542 22,771 68,314 34,157 102,472 51,236 25,618 12,809 38,428 19,214 9,607 28,822 14,411 43,234 21,617 64,852 32,426

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