838,060

2² × 5 × 41903

838,060 factors as 2^2 × 5 × 41903. Its 12 positive divisors give a proper-divisor sum of 921,908, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 41903

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,759,968

Proper Divisor Sum 921,908

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #838043 ← → #838063

Radix Representation

Decimal	838060
Binary	11001100100110101100 (20 bits)
Octal	0o3144654
Hexadecimal	0xCC9AC

Divisor Catalog (12)

1 2 4 5 10 20 41,903 83,806 167,612 209,515 419,030 838,060

Collatz Trajectory (118 steps to reach 1)

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

838,060 419,030 209,515 628,546 314,273 942,820 471,410 235,705 707,116 353,558 176,779 530,338 265,169 795,508 397,754 198,877 596,632 298,316 149,158 74,579 223,738 111,869 335,608 167,804 83,902 41,951 125,854 62,927 188,782 94,391 283,174 141,587 424,762 212,381 637,144 318,572 159,286 79,643 238,930 119,465 358,396 179,198 89,599 268,798 134,399 403,198 201,599 604,798 302,399 907,198 453,599 1,360,798 680,399 2,041,198 1,020,599 3,061,798 1,530,899 4,592,698 2,296,349 6,889,048

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