λ
Math Directory

6,421,968

24 × 32 × 7 × 23 × 277
Abundant Even Composite

6,421,968 factors as 2^4 × 3^2 × 7 × 23 × 277. Its 120 positive divisors give a proper-divisor sum of 15,088,560, so this integer is abundant. The Collatz stopping time is 121 steps.

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Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 23 × 277
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 21,510,528
Proper Divisor Sum 15,088,560
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6421967 ← → #6421997

Radix Representation

Decimal 6421968
Binary 11000011111110111010000 (23 bits)
Octal 0o30376720
Hexadecimal 0x61FDD0

Divisor Catalog (5 of 120)

1 2 3 4 6

Collatz Trajectory (121 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

6,421,968 3,210,984 1,605,492 802,746 401,373

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