λ
Sigma Notebook

969,820

22 × 5 × 48491
Abundant Even Composite

969,820 is even and not a perfect square. Its factorization is 2^2 × 5 × 48491 and its 12 divisors sum to 2,036,664.

Prime Factor Structure

Factorization String 2^2 × 5 × 48491
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,036,664
Proper Divisor Sum 1,066,844
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #969809 ← → #969821

Radix Representation

Decimal 969820
Binary 11101100110001011100 (20 bits)
Octal 0o3546134
Hexadecimal 0xECC5C

Divisor Catalog (12)

1 2 4 5 10 20 48,491 96,982 193,964 242,455 484,910 969,820

Collatz Trajectory (214 steps to reach 1)

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

969,820 484,910 242,455 727,366 363,683 1,091,050 545,525 1,636,576 818,288 409,144 204,572 102,286 51,143 153,430 76,715 230,146 115,073 345,220 172,610 86,305 258,916 129,458 64,729 194,188 97,094 48,547 145,642 72,821 218,464 109,232 54,616 27,308 13,654 6,827 20,482 10,241 30,724 15,362 7,681 23,044 11,522 5,761 17,284 8,642 4,321 12,964 6,482 3,241 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934

More profiles

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