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966,056

23 × 7 × 13 × 1327
Abundant Even Composite

966,056 factors as 2^3 × 7 × 13 × 1327. Its 32 positive divisors give a proper-divisor sum of 1,264,984, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 1327
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,231,040
Proper Divisor Sum 1,264,984
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #966041 ← → #966109

Radix Representation

Decimal 966056
Binary 11101011110110101000 (20 bits)
Octal 0o3536650
Hexadecimal 0xEBDA8

Divisor Catalog (32)

1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1,327 2,654 5,308 9,289 10,616 17,251 18,578 34,502 37,156 69,004 74,312 120,757 138,008 241,514 483,028 966,056

Collatz Trajectory (121 steps to reach 1)

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

966,056 483,028 241,514 120,757 362,272 181,136 90,568 45,284 22,642 11,321 33,964 16,982 8,491 25,474 12,737 38,212 19,106 9,553 28,660 14,330 7,165 21,496 10,748 5,374 2,687 8,062 4,031 12,094 6,047 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926 22,963 68,890 34,445 103,336 51,668 25,834 12,917 38,752 19,376 9,688 4,844 2,422 1,211 3,634 1,817 5,452 2,726 1,363 4,090 2,045 6,136

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